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107397462192 = 243171673312381
BaseRepresentation
bin110010000000101100…
…0110011100010110000
3101021012201021100122220
41210001120303202300
53224422222242232
6121200540201040
710521260236446
oct1440130634260
9337181240586
10107397462192
1141602081a19
1218993239180
13a187278ac7
1452ab6c0b96
152bd88b542c
hex19016338b0

107397462192 has 160 divisors (see below), whose sum is σ = 296540020224. Its totient is φ = 33376358400.

The previous prime is 107397462173. The next prime is 107397462197. The reversal of 107397462192 is 291264793701.

It is a happy number.

107397462192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (107397462197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45104842 + ... + 45107222.

Almost surely, 2107397462192 is an apocalyptic number.

107397462192 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 107397462192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148270010112).

107397462192 is an abundant number, since it is smaller than the sum of its proper divisors (189142558032).

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

107397462192 is a wasteful number, since it uses less digits than its factorization.

107397462192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 107397462192 in words is "one hundred seven billion, three hundred ninety-seven million, four hundred sixty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 331 334 408 501 662 668 816 993 1002 1324 1336 1986 2004 2381 2648 2672 2839 3972 4008 4762 5296 5627 5678 7143 7944 8016 8517 9524 11254 11356 14286 15888 16881 17034 19048 22508 22712 28572 33762 34068 38096 40477 45016 45424 55277 57144 67524 68136 80954 90032 110554 114288 121431 135048 136272 161908 165831 221108 242862 270096 323816 331662 397627 442216 485724 647632 663324 788111 795254 884432 939709 971448 1192881 1326648 1576222 1590508 1879418 1942896 2364333 2385762 2653296 2819127 3152444 3181016 3758836 4728666 4771524 5638254 6304888 6362032 6759659 7517672 9457332 9543048 11276508 12609776 13397887 13519318 15035344 18914664 19086096 20278977 22553016 26795774 27038636 37829328 40193661 40557954 45106032 53591548 54077272 80387322 81115908 107183096 108154544 131614537 160774644 162231816 214366192 263229074 321549288 324463632 394843611 526458148 643098576 789687222 1052916296 1579374444 2105832592 2237447129 3158748888 4474894258 6317497776 6712341387 8949788516 13424682774 17899577032 26849365548 35799154064 53698731096 107397462192