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11326352928 = 2531156319051
BaseRepresentation
bin10101000110001101…
…00110111000100000
31002020100112100021220
422203012212320200
5141144021243203
65111523015040
7550451261052
oct124306467040
932210470256
1011326352928
114892481660
12224120a480
1310b67213a7
147963838d2
15464556653
hex2a31a6e20

11326352928 has 96 divisors (see below), whose sum is σ = 32493871872. Its totient is φ = 3425952000.

The previous prime is 11326352911. The next prime is 11326352929. The reversal of 11326352928 is 82925362311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×113263529282 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11326352928.

It is not an unprimeable number, because it can be changed into a prime (11326352929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585003 + ... + 604053.

It is an arithmetic number, because the mean of its divisors is an integer number (338477832).

Almost surely, 211326352928 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 11326352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246935936).

11326352928 is an abundant number, since it is smaller than the sum of its proper divisors (21167518944).

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

11326352928 is a wasteful number, since it uses less digits than its factorization.

11326352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19638 (or 19630 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 11326352928 in words is "eleven billion, three hundred twenty-six million, three hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 563 1056 1126 1689 2252 3378 4504 6193 6756 9008 12386 13512 18016 18579 19051 24772 27024 37158 38102 49544 54048 57153 74316 76204 99088 114306 148632 152408 198176 209561 228612 297264 304816 419122 457224 594528 609632 628683 838244 914448 1257366 1676488 1828896 2514732 3352976 5029464 6705952 10058928 10725713 20117856 21451426 32177139 42902852 64354278 85805704 117982843 128708556 171611408 235965686 257417112 343222816 353948529 471931372 514834224 707897058 943862744 1029668448 1415794116 1887725488 2831588232 3775450976 5663176464 11326352928