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1961814912 = 27331971699
BaseRepresentation
bin111010011101110…
…1110101110000000
312001201111112010120
41310323232232000
513004211034122
6522400300240
766421103001
oct16473565600
95051445116
101961814912
11917436642
12469011680
13253597935
141487991a8
15b736d75c
hex74eeeb80

1961814912 has 128 divisors (see below), whose sum is σ = 5437824000. Its totient is φ = 625950720.

The previous prime is 1961814901. The next prime is 1961814919. The reversal of 1961814912 is 2194181691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961814919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153839 + ... + 1155537.

It is an arithmetic number, because the mean of its divisors is an integer number (42483000).

Almost surely, 21961814912 is an apocalyptic number.

1961814912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718912000).

1961814912 is an abundant number, since it is smaller than the sum of its proper divisors (3476009088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1961814912 is a wasteful number, since it uses less digits than its factorization.

1961814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1832 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The square root of 1961814912 is about 44292.3798412323. The cubic root of 1961814912 is about 1251.8511052676.

The spelling of 1961814912 in words is "one billion, nine hundred sixty-one million, eight hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 97 124 128 186 192 194 248 291 372 384 388 496 582 744 776 992 1164 1488 1552 1699 1984 2328 2976 3007 3104 3398 3968 4656 5097 5952 6014 6208 6796 9021 9312 10194 11904 12028 12416 13592 18042 18624 20388 24056 27184 36084 37248 40776 48112 52669 54368 72168 81552 96224 105338 108736 144336 158007 163104 164803 192448 210676 217472 288672 316014 326208 329606 384896 421352 494409 577344 632028 652416 659212 842704 988818 1154688 1264056 1318424 1685408 1977636 2528112 2636848 3370816 3955272 5056224 5108893 5273696 6741632 7910544 10112448 10217786 10547392 15326679 15821088 20224896 20435572 21094784 30653358 31642176 40871144 61306716 63284352 81742288 122613432 163484576 245226864 326969152 490453728 653938304 980907456 1961814912