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107065157520 = 24351131739419
BaseRepresentation
bin110001110110110010…
…1001010011110010000
3101020100112222112100110
41203231211022132100
53223232140020040
6121103545521320
710510113552246
oct1435545123620
9336315875313
10107065157520
1141451543562
12188bbaa3240
13a13347a019
1452794dc796
152bb9624980
hex18ed94a790

107065157520 has 80 divisors (see below), whose sum is σ = 331939736640. Its totient is φ = 28547461632.

The previous prime is 107065157509. The next prime is 107065157581. The reversal of 107065157520 is 25751560701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1070651575202 (a number of 23 digits) contains 22 as substring.

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, 2696371 + ... + 2735789.

It is an arithmetic number, because the mean of its divisors is an integer number (4149246708).

Almost surely, 2107065157520 is an apocalyptic number.

107065157520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107065157520 is an abundant number, since it is smaller than the sum of its proper divisors (224874579120).

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

107065157520 is a wasteful number, since it uses less digits than its factorization.

107065157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50752 (or 50746 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 107065157520 in words is "one hundred seven billion, sixty-five million, one hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11317 22634 33951 39419 45268 56585 67902 78838 90536 113170 118257 135804 157676 169755 181072 197095 226340 236514 271608 315352 339510 394190 452680 473028 543216 591285 630704 679020 788380 905360 946056 1182570 1358040 1576760 1892112 2365140 2716080 3153520 4730280 9460560 446104823 892209646 1338314469 1784419292 2230524115 2676628938 3568838584 4461048230 5353257876 6691572345 7137677168 8922096460 10706515752 13383144690 17844192920 21413031504 26766289380 35688385840 53532578760 107065157520