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10931661232 = 2417732931879
BaseRepresentation
bin10100010111001001…
…11110100110110000
31001012211211221001221
422023210332212300
5134342001124412
65004423234424
7534616405312
oct121344764660
931184757057
1010931661232
1146aa701978
122150ba8a14
131052a1accb
14759ba17b2
1543ea90b07
hex28b93e9b0

10931661232 has 80 divisors (see below), whose sum is σ = 22822914240. Its totient is φ = 5053833216.

The previous prime is 10931661217. The next prime is 10931661253. The reversal of 10931661232 is 23216613901.

10931661232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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, 5816869 + ... + 5818747.

It is an arithmetic number, because the mean of its divisors is an integer number (285286428).

Almost surely, 210931661232 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 10931661232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411457120).

10931661232 is an abundant number, since it is smaller than the sum of its proper divisors (11891253008).

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

10931661232 is a wasteful number, since it uses less digits than its factorization.

10931661232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 10931661232 in words is "ten billion, nine hundred thirty-one million, six hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 293 584 586 1168 1172 1241 1879 2344 2482 3758 4688 4964 4981 7516 9928 9962 15032 19856 19924 21389 30064 31943 39848 42778 63886 79696 85556 127772 137167 171112 255544 274334 342224 363613 511088 548668 550547 727226 1097336 1101094 1454452 2194672 2202188 2331839 2908904 4404376 4663678 5817808 8808752 9327356 9359299 18654712 18718598 37309424 37437196 40189931 74874392 80379862 149748784 160759724 321519448 643038896 683228827 1366457654 2732915308 5465830616 10931661232