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104479910352 = 24324715798327
BaseRepresentation
bin110000101001101111…
…1001110100111010000
3100222200101101100221100
41201103133032213100
53202433324112402
6115555235024400
710356052404426
oct1412337164720
9328611340840
10104479910352
1140345205054
12182ba13b100
139b109a107c
1450b201b116
152ab76aa71c
hex18537ce9d0

104479910352 has 120 divisors (see below), whose sum is σ = 300524979456. Its totient is φ = 33868194048.

The previous prime is 104479910329. The next prime is 104479910389. The reversal of 104479910352 is 253019974401.

104479910352 is a `hidden beast` number, since 10 + 447 + 99 + 103 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104479910298 and 104479910307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013413 + ... + 1111739.

Almost surely, 2104479910352 is an apocalyptic number.

104479910352 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 104479910352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150262489728).

104479910352 is an abundant number, since it is smaller than the sum of its proper divisors (196045069104).

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

104479910352 is a wasteful number, since it uses less digits than its factorization.

104479910352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98545 (or 98536 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 104479910352 in words is "one hundred four billion, four hundred seventy-nine million, nine hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 157 188 282 314 376 423 471 564 628 752 846 942 1128 1256 1413 1692 1884 2256 2512 2826 3384 3768 5652 6768 7379 7536 11304 14758 22137 22608 29516 44274 59032 66411 88548 98327 118064 132822 177096 196654 265644 294981 354192 393308 531288 589962 786616 884943 1062576 1179924 1573232 1769886 2359848 3539772 4621369 4719696 7079544 9242738 13864107 14159088 15437339 18485476 27728214 30874678 36970952 41592321 46312017 55456428 61749356 73941904 83184642 92624034 110912856 123498712 138936051 166369284 185248068 221825712 246997424 277872102 332738568 370496136 555744204 665477136 725554933 740992272 1111488408 1451109866 2176664799 2222976816 2902219732 4353329598 5804439464 6529994397 8706659196 11608878928 13059988794 17413318392 26119977588 34826636784 52239955176 104479910352