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157723104084 = 2237131712236947
BaseRepresentation
bin1001001011100100000…
…1111001001101010100
3120002002222211211222120
42102321001321031110
510041004103312314
6200242413255540
714252345156460
oct2227101711524
9502088754876
10157723104084
11609876425a7
12266991945b0
1311b47623a30
1478c337b4a0
154181b318a9
hex24b9079354

157723104084 has 192 divisors, whose sum is σ = 480053661696. Its totient is φ = 39112759296.

The previous prime is 157723104079. The next prime is 157723104103. The reversal of 157723104084 is 480401327751.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 22700299 + ... + 22707245.

It is an arithmetic number, because the mean of its divisors is an integer number (2500279488).

Almost surely, 2157723104084 is an apocalyptic number.

157723104084 is a gapful number since it is divisible by the number (14) 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 157723104084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240026830848).

157723104084 is an abundant number, since it is smaller than the sum of its proper divisors (322330557612).

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

157723104084 is a wasteful number, since it uses less digits than its factorization.

157723104084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 157723104084 in words is "one hundred fifty-seven billion, seven hundred twenty-three million, one hundred four thousand, eighty-four".