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107436966078 = 2313171920032129
BaseRepresentation
bin110010000001110111…
…1100000000010111110
3101021022110121100210210
41210003233200002332
53230012330403303
6121204511013250
710522250100231
oct1440357400276
9337273540723
10107436966078
1141622403862
12189a450a226
13a1924ca8a0
1452b2a45418
152bdc0ba203
hex1903be00be

107436966078 has 128 divisors (see below), whose sum is σ = 258160089600. Its totient is φ = 29446889472.

The previous prime is 107436966067. The next prime is 107436966083. The reversal of 107436966078 is 870669634701.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50462518 + ... + 50464646.

It is an arithmetic number, because the mean of its divisors is an integer number (2016875700).

Almost surely, 2107436966078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107436966078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129080044800).

107436966078 is an abundant number, since it is smaller than the sum of its proper divisors (150723123522).

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

107436966078 is a wasteful number, since it uses less digits than its factorization.

107436966078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186.

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 107436966078 in words is "one hundred seven billion, four hundred thirty-six million, nine hundred sixty-six thousand, seventy-eight".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 2003 2129 4006 4199 4258 6009 6387 8398 12018 12597 12774 25194 26039 27677 34051 36193 38057 40451 52078 55354 68102 72386 76114 78117 80902 83031 102153 108579 114171 121353 156234 166062 204306 217158 228342 242706 442663 470509 494741 525863 646969 687667 885326 941018 989482 1051726 1293938 1327989 1375334 1411527 1484223 1577589 1940907 2063001 2655978 2823054 2968446 3155178 3881814 4126002 4264387 8410597 8528774 8939671 12793161 16821194 17879342 25231791 25586322 26819013 50463582 53638026 55437031 72494579 81023353 110874062 144989158 162046706 166311093 217483737 243070059 332622186 434967474 486140118 942429527 1053303589 1377397001 1884859054 2106607178 2754794002 2827288581 3159910767 4132191003 5654577162 6319821534 8264382006 17906161013 35812322026 53718483039 107436966078