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107186473920 = 2635111652577
BaseRepresentation
bin110001111010011001…
…1111100101111000000
3101020200000021001011110
41203310303330233000
53224004214131140
6121124002043320
710513115665341
oct1436463745700
9336600231143
10107186473920
1141503a74349
1218934649540
13a152645186
14528b67c0c8
152bc50da380
hex18f4cfcbc0

107186473920 has 56 divisors (see below), whose sum is σ = 340317057744. Its totient is φ = 28583059456.

The previous prime is 107186473907. The next prime is 107186473939. The reversal of 107186473920 is 29374681701.

It is a happy number.

It is a super-2 number, since 2×1071864739202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107186473920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55825329 + ... + 55827248.

Almost surely, 2107186473920 is an apocalyptic number.

107186473920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107186473920 is an abundant number, since it is smaller than the sum of its proper divisors (233130583824).

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

107186473920 is a wasteful number, since it uses less digits than its factorization.

107186473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111652597 (or 111652587 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 107186473920 in words is "one hundred seven billion, one hundred eighty-six million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 111652577 223305154 334957731 446610308 558262885 669915462 893220616 1116525770 1339830924 1674788655 1786441232 2233051540 2679661848 3349577310 3572882464 4466103080 5359323696 6699154620 7145764928 8932206160 10718647392 13398309240 17864412320 21437294784 26796618480 35728824640 53593236960 107186473920