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1166055264 = 25341140897
BaseRepresentation
bin100010110000000…
…1001011101100000
310000021010202010000
41011200021131200
54342002232024
6311412340000
740616210013
oct10540113540
93007122100
101166055264
11549231640
12286614600
1315776ab3a
14b0c1537a
156c582cc9
hex45809760

1166055264 has 120 divisors (see below), whose sum is σ = 3741185448. Its totient is φ = 353341440.

The previous prime is 1166055263. The next prime is 1166055349. The reversal of 1166055264 is 4625506611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166055263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8064 + ... + 48960.

Almost surely, 21166055264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870592724).

1166055264 is an abundant number, since it is smaller than the sum of its proper divisors (2575130184).

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

1166055264 is a wasteful number, since it uses less digits than its factorization.

1166055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40930 (or 40913 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1166055264 is about 34147.5513617009. The cubic root of 1166055264 is about 1052.5426703756.

The spelling of 1166055264 in words is "one billion, one hundred sixty-six million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 40897 81794 122691 163588 245382 327176 368073 449867 490764 654352 736146 899734 981528 1104219 1308704 1349601 1472292 1799468 1963056 2208438 2699202 2944584 3312657 3598936 3926112 4048803 4416876 5398404 5889168 6625314 7197872 8097606 8833752 10796808 11778336 12146409 13250628 14395744 16195212 17667504 21593616 24292818 26501256 32390424 35335008 36439227 43187232 48585636 53002512 64780848 72878454 97171272 106005024 129561696 145756908 194342544 291513816 388685088 583027632 1166055264