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157213310172 = 22367795124593
BaseRepresentation
bin1001001001101010100…
…1001011110011011100
3120000210110120122012120
42102122221023303130
510033433101411142
6200120042502540
714233615042032
oct2223251136334
9500713518176
10157213310172
11607458a6916
1226576504a50
1311a95b1cb29
147875796552
154151ed17ec
hex249aa4bcdc

157213310172 has 48 divisors (see below), whose sum is σ = 372368113152. Its totient is φ = 51613689600.

The previous prime is 157213310087. The next prime is 157213310173. The reversal of 157213310172 is 271013312751.

157213310172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157213310173) 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 15 ways as a sum of consecutive naturals, for example, 6380308 + ... + 6404900.

It is an arithmetic number, because the mean of its divisors is an integer number (7757669024).

Almost surely, 2157213310172 is an apocalyptic number.

157213310172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157213310172 is an abundant number, since it is smaller than the sum of its proper divisors (215154802980).

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

157213310172 is a wasteful number, since it uses less digits than its factorization.

157213310172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32618 (or 32616 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 157213310172 in words is "one hundred fifty-seven billion, two hundred thirteen million, three hundred ten thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 7951 15902 23853 24593 31804 47706 49186 73779 95412 98372 147558 295116 532717 1065434 1598151 1647731 2130868 3196302 3295462 4943193 6392604 6590924 9886386 19772772 195538943 391077886 586616829 782155772 1173233658 2346467316 13101109181 26202218362 39303327543 52404436724 78606655086 157213310172