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10478630624 = 257116763473
BaseRepresentation
bin10011100001001001…
…10011011011100000
31000001021101120220112
421300210303123200
5132430012134444
64451441230452
7520445614340
oct116044633340
930037346815
1010478630624
114497a06310
122045332428
13cacbcca67
14715954d20
15414e0469e
hex2709336e0

10478630624 has 96 divisors (see below), whose sum is σ = 26104571136. Its totient is φ = 4021585920.

The previous prime is 10478630611. The next prime is 10478630641. The reversal of 10478630624 is 42603687401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133352 + ... + 196824.

It is an arithmetic number, because the mean of its divisors is an integer number (271922616).

Almost surely, 210478630624 is an apocalyptic number.

10478630624 is a gapful number since it is divisible by the number (14) 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 10478630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052285568).

10478630624 is an abundant number, since it is smaller than the sum of its proper divisors (15625940512).

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

10478630624 is a wasteful number, since it uses less digits than its factorization.

10478630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63568 (or 63560 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 10478630624 in words is "ten billion, four hundred seventy-eight million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 67 77 88 112 134 154 176 224 268 308 352 469 536 616 737 938 1072 1232 1474 1876 2144 2464 2948 3752 5159 5896 7504 10318 11792 15008 20636 23584 41272 63473 82544 126946 165088 253892 444311 507784 698203 888622 1015568 1396406 1777244 2031136 2792812 3554488 4252691 4887421 5585624 7108976 8505382 9774842 11171248 14217952 17010764 19549684 22342496 29768837 34021528 39099368 46779601 59537674 68043056 78198736 93559202 119075348 136086112 156397472 187118404 238150696 327457207 374236808 476301392 654914414 748473616 952602784 1309828828 1496947232 2619657656 5239315312 10478630624