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157652037816 = 2337132113131093
BaseRepresentation
bin1001001011010011001…
…0110011000010111000
3120001221001010022101120
42102310302303002320
510040332410202231
6200231354145240
714250523132260
oct2226462630270
9501831108346
10157652037816
1160950513449
1226679422220
1311b359a0aa0
1478b7b5c7a0
15417a794d96
hex24b4cb30b8

157652037816 has 256 divisors, whose sum is σ = 489386634240. Its totient is φ = 41211555840.

The previous prime is 157652037791. The next prime is 157652037859. The reversal of 157652037816 is 618730256751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144237366 + ... + 144238458.

It is an arithmetic number, because the mean of its divisors is an integer number (1911666540).

Almost surely, 2157652037816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157652037816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693317120).

157652037816 is an abundant number, since it is smaller than the sum of its proper divisors (331734596424).

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

157652037816 is a wasteful number, since it uses less digits than its factorization.

157652037816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 157652037816 in words is "one hundred fifty-seven billion, six hundred fifty-two million, thirty-seven thousand, eight hundred sixteen".