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107353610416 = 2413317091787
BaseRepresentation
bin110001111111011000…
…1100001100010110000
3101021002122202110100001
41203332301201202300
53224330011013131
6121152332235344
710520215426633
oct1437661414260
9337078673301
10107353610416
114158a350488
121898060bb54
13a17b164000
1452a5947c1a
152bd4b02261
hex18fec618b0

107353610416 has 80 divisors (see below), whose sum is σ = 225580874400. Its totient is φ = 49491117312.

The previous prime is 107353610401. The next prime is 107353610443. The reversal of 107353610416 is 614016353701.

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, 60073875 + ... + 60075661.

It is an arithmetic number, because the mean of its divisors is an integer number (2819760930).

Almost surely, 2107353610416 is an apocalyptic number.

107353610416 is a gapful number since it is divisible by the number (16) 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 107353610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112790437200).

107353610416 is an abundant number, since it is smaller than the sum of its proper divisors (118227263984).

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

107353610416 is a wasteful number, since it uses less digits than its factorization.

107353610416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 107353610416 in words is "one hundred seven billion, three hundred fifty-three million, six hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1709 1787 2197 2704 3418 3574 4394 6836 7148 8788 13672 14296 17576 22217 23231 27344 28592 35152 44434 46462 88868 92924 177736 185848 288821 302003 355472 371696 577642 604006 1155284 1208012 2310568 2416024 3053983 3754673 3926039 4621136 4832048 6107966 7509346 7852078 12215932 15018692 15704156 24431864 30037384 31408312 39701779 48863728 60074768 62816624 79403558 158807116 317614232 516123127 635228464 1032246254 2064492508 4128985016 6709600651 8257970032 13419201302 26838402604 53676805208 107353610416