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107040474680 = 23561101434347
BaseRepresentation
bin110001110110000011…
…1000000011000111000
3101020021211112111212012
41203230013000120320
53223204330142210
6121101304505052
710506364010516
oct1435407003070
9336254474765
10107040474680
1141439614a17
12188b377b188
13a12b3172a9
1452761154b6
152bb739b305
hex18ec1c0638

107040474680 has 64 divisors (see below), whose sum is σ = 247213507680. Its totient is φ = 41697216000.

The previous prime is 107040474631. The next prime is 107040474713. The reversal of 107040474680 is 86474040701.

It is a super-2 number, since 2×1070404746802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 29267 + ... + 463613.

Almost surely, 2107040474680 is an apocalyptic number.

107040474680 is a gapful number since it is divisible by the number (10) 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 107040474680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606753840).

107040474680 is an abundant number, since it is smaller than the sum of its proper divisors (140173033000).

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

107040474680 is a wasteful number, since it uses less digits than its factorization.

107040474680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434520 (or 434516 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 107040474680 in words is "one hundred seven billion, forty million, four hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 101 122 202 244 305 404 488 505 610 808 1010 1220 2020 2440 4040 6161 12322 24644 30805 49288 61610 123220 246440 434347 868694 1737388 2171735 3474776 4343470 8686940 17373880 26495167 43869047 52990334 87738094 105980668 132475835 175476188 211961336 219345235 264951670 350952376 438690470 529903340 877380940 1059806680 1754761880 2676011867 5352023734 10704047468 13380059335 21408094936 26760118670 53520237340 107040474680