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10490439132 = 2232614799973
BaseRepresentation
bin10011100010100011…
…10110010111011100
31000002002121112010200
421301101312113130
5132441023023012
64452542303500
7520651155435
oct116121662734
930062545120
1010490439132
1144a3641208
122049287b90
13cb24a5844
1471734a48c
15415e883dc
hex2714765dc

10490439132 has 72 divisors (see below), whose sum is σ = 27011187840. Its totient is φ = 3431963520.

The previous prime is 10490439121. The next prime is 10490439133. The reversal of 10490439132 is 23193409401.

10490439132 is a `hidden beast` number, since 1 + 0 + 4 + 90 + 439 + 132 = 666.

It is a super-2 number, since 2×104904391322 (a number of 21 digits) contains 22 as substring.

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 (10490439133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046898 + ... + 1056870.

Almost surely, 210490439132 is an apocalyptic number.

10490439132 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 10490439132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505593920).

10490439132 is an abundant number, since it is smaller than the sum of its proper divisors (16520748708).

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

10490439132 is a wasteful number, since it uses less digits than its factorization.

10490439132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10490439132 in words is "ten billion, four hundred ninety million, four hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 479 549 732 958 1098 1437 1916 2196 2874 4311 5748 8622 9973 17244 19946 29219 29919 39892 58438 59838 87657 89757 116876 119676 175314 179514 262971 350628 359028 525942 608353 1051884 1216706 1825059 2433412 3650118 4777067 5475177 7300236 9554134 10950354 14331201 19108268 21900708 28662402 42993603 57324804 85987206 171974412 291401087 582802174 874203261 1165604348 1748406522 2622609783 3496813044 5245219566 10490439132