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10452432132 = 223556918899
BaseRepresentation
bin10011011110000001…
…10111010100000100
3222222110002120100000
421233000313110010
5132401310312012
64445103521300
7520010131032
oct115700672404
928873076300
1010452432132
114484141a6a
1220385b9230
13ca76591ac
14712295552
1541297bddc
hex26f037504

10452432132 has 72 divisors (see below), whose sum is σ = 27449604000. Its totient is φ = 3477836736.

The previous prime is 10452432121. The next prime is 10452432149. The reversal of 10452432132 is 23123425401.

10452432132 is a `hidden beast` number, since 1 + 0 + 4 + 524 + 3 + 2 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10452432096 and 10452432105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543619 + ... + 562517.

It is an arithmetic number, because the mean of its divisors is an integer number (381244500).

Almost surely, 210452432132 is an apocalyptic number.

10452432132 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 10452432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724802000).

10452432132 is an abundant number, since it is smaller than the sum of its proper divisors (16997171868).

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

10452432132 is a wasteful number, since it uses less digits than its factorization.

10452432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19487 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10452432132 its reverse (23123425401), we get a palindrome (33575857533).

The spelling of 10452432132 in words is "ten billion, four hundred fifty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 569 972 1138 1707 2276 3414 5121 6828 10242 15363 18899 20484 30726 37798 46089 56697 61452 75596 92178 113394 138267 170091 184356 226788 276534 340182 510273 553068 680364 1020546 1530819 2041092 3061638 4592457 6123276 9184914 10753531 18369828 21507062 32260593 43014124 64521186 96781779 129042372 193563558 290345337 387127116 580690674 871036011 1161381348 1742072022 2613108033 3484144044 5226216066 10452432132