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10147518700 = 22521131729101
BaseRepresentation
bin10010111001101011…
…01101100011101100
3222012012100100201221
421130311231203230
5131240231044300
64354532313124
7506315325424
oct113465554354
928165310657
1010147518700
114338011aa0
121b724727a4
13c5942ab47
146c39a3484
153e5cec31a
hex25cd6d8ec

10147518700 has 72 divisors (see below), whose sum is σ = 24098551344. Its totient is φ = 3678240000.

The previous prime is 10147518683. The next prime is 10147518709. The reversal of 10147518700 is 781574101.

It is not an unprimeable number, because it can be changed into a prime (10147518709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334150 + ... + 363250.

It is an arithmetic number, because the mean of its divisors is an integer number (334702102).

Almost surely, 210147518700 is an apocalyptic number.

10147518700 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 10147518700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049275672).

10147518700 is an abundant number, since it is smaller than the sum of its proper divisors (13951032644).

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

10147518700 is a wasteful number, since it uses less digits than its factorization.

10147518700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443 (or 29436 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 34.

The spelling of 10147518700 in words is "ten billion, one hundred forty-seven million, five hundred eighteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 317 550 634 1100 1268 1585 3170 3487 6340 6974 7925 13948 15850 17435 29101 31700 34870 58202 69740 87175 116404 145505 174350 291010 320111 348700 582020 640222 727525 1280444 1455050 1600555 2910100 3201110 6402220 8002775 9225017 16005550 18450034 32011100 36900068 46125085 92250170 101475187 184500340 202950374 230625425 405900748 461250850 507375935 922501700 1014751870 2029503740 2536879675 5073759350 10147518700