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126857909846970 = 23259029156111677
BaseRepresentation
bin11100110110000001101000…
…101001110100001110111010
3121122011111102212001100122100
4130312001220221310032322
5113111414444410100340
61125445415205204230
735502116160112431
oct3466015051641672
9548144385040570
10126857909846970
113746a156a25515
1212289ab5400676
1355a285a142473
142347d54232118
15e9ecea8b3830
hex736068a743ba

126857909846970 has 48 divisors (see below), whose sum is σ = 329867097847560. Its totient is φ = 33825029062272.

The previous prime is 126857909846917. The next prime is 126857909847007. The reversal of 126857909846970 is 79648909758621.

126857909846970 is a `hidden beast` number, since 1 + 2 + 6 + 85 + 7 + 9 + 0 + 9 + 8 + 469 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124804400784921 + 2053509062049 = 11171589^2 + 1433007^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126857909846970.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77243229 + ... + 78868448.

Almost surely, 2126857909846970 is an apocalyptic number.

126857909846970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126857909846970 is an abundant number, since it is smaller than the sum of its proper divisors (203009188000590).

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

126857909846970 is a wasteful number, since it uses less digits than its factorization.

126857909846970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156120719 (or 156120716 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 126857909846970 in words is "one hundred twenty-six trillion, eight hundred fifty-seven billion, nine hundred nine million, eight hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9029 18058 27087 45145 54174 81261 90290 135435 162522 270870 406305 812610 156111677 312223354 468335031 780558385 936670062 1405005093 1561116770 2341675155 2810010186 4683350310 7025025465 14050050930 1409532331633 2819064663266 4228596994899 7047661658165 8457193989798 12685790984697 14095323316330 21142984974495 25371581969394 42285969948990 63428954923485 126857909846970