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10104402432 = 29323572791
BaseRepresentation
bin10010110100100010…
…01111001000000000
3222002012012211100010
421122101033020000
5131143211334212
64350352224520
7505253001135
oct113221171000
928065184303
1010104402432
114315743113
121b5bb3b140
13c50512a67
146bbd7c58c
153e213203c
hex25a44f200

10104402432 has 80 divisors (see below), whose sum is σ = 26939829312. Its totient is φ = 3365498880.

The previous prime is 10104402431. The next prime is 10104402449. The reversal of 10104402432 is 23420440101.

It is a junction number, because it is equal to n+sod(n) for n = 10104402399 and 10104402408.

It is not an unprimeable number, because it can be changed into a prime (10104402431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618957 + ... + 3621747.

Almost surely, 210104402432 is an apocalyptic number.

10104402432 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 10104402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469914656).

10104402432 is an abundant number, since it is smaller than the sum of its proper divisors (16835426880).

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

10104402432 is an equidigital number, since it uses as much as digits as its factorization.

10104402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10104402432 its reverse (23420440101), we get a palindrome (33524842533).

The spelling of 10104402432 in words is "ten billion, one hundred four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2357 2791 4714 5582 7071 8373 9428 11164 14142 16746 18856 22328 28284 33492 37712 44656 56568 66984 75424 89312 113136 133968 150848 178624 226272 267936 301696 357248 452544 535872 603392 714496 905088 1071744 1206784 1428992 1810176 2143488 3620352 4286976 6578387 13156774 19735161 26313548 39470322 52627096 78940644 105254192 157881288 210508384 315762576 421016768 631525152 842033536 1263050304 1684067072 2526100608 3368134144 5052201216 10104402432