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1016725536 = 25326752691
BaseRepresentation
bin111100100110100…
…000000000100000
32121212011000020100
4330212200000200
54040240204121
6244515542400
734124011251
oct7446400040
92555130210
101016725536
11481a07a42
122445baa00
13132845058
1499062b28
155e3d7026
hex3c9a0020

1016725536 has 72 divisors (see below), whose sum is σ = 2934522864. Its totient is φ = 333843840.

The previous prime is 1016725499. The next prime is 1016725537. The reversal of 1016725536 is 6355276101.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1016725536.

It is not an unprimeable number, because it can be changed into a prime (1016725537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7050 + ... + 45641.

It is an arithmetic number, because the mean of its divisors is an integer number (40757262).

Almost surely, 21016725536 is an apocalyptic number.

1016725536 is a gapful number since it is divisible by the number (16) 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 1016725536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467261432).

1016725536 is an abundant number, since it is smaller than the sum of its proper divisors (1917797328).

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

1016725536 is a wasteful number, since it uses less digits than its factorization.

1016725536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52774 (or 52763 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1016725536 is about 31886.1339142895. The cubic root of 1016725536 is about 1005.5443816866.

The spelling of 1016725536 in words is "one billion, sixteen million, seven hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 52691 105382 158073 210764 316146 421528 474219 632292 843056 948438 1264584 1686112 1896876 2529168 3530297 3793752 5058336 7060594 7587504 10590891 14121188 15175008 21181782 28242376 31772673 42363564 56484752 63545346 84727128 112969504 127090692 169454256 254181384 338908512 508362768 1016725536