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1157611660137 = 3429492810413
BaseRepresentation
bin10000110110000111000…
…010000010001101101001
311002122222221120100010000
4100312013002002031221
5122431242041111022
62243444403213213
7146430460521162
oct20660702021551
94078887510100
101157611660137
11406a3866aa59
12168429977209
138521579cbba
1440058a94769
15201a36d26ac
hex10d87082369

1157611660137 has 20 divisors (see below), whose sum is σ = 1788901802820. Its totient is φ = 745129342944.

The previous prime is 1157611660133. The next prime is 1157611660151. The reversal of 1157611660137 is 7310661167511.

1157611660137 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 6 + 1 + 1 + 6 + 601 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 961372406016 + 196239254121 = 980496^2 + 442989^2 .

It is not a de Polignac number, because 1157611660137 - 22 = 1157611660133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1157611660092 and 1157611660101.

It is not an unprimeable number, because it can be changed into a prime (1157611660133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246402858 + ... + 246407555.

It is an arithmetic number, because the mean of its divisors is an integer number (89445090141).

Almost surely, 21157611660137 is an apocalyptic number.

It is an amenable number.

1157611660137 is a deficient number, since it is larger than the sum of its proper divisors (631290142683).

1157611660137 is an equidigital number, since it uses as much as digits as its factorization.

1157611660137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492810454 (or 492810445 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 1157611660137 in words is "one trillion, one hundred fifty-seven billion, six hundred eleven million, six hundred sixty thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 29 81 87 261 783 2349 492810413 1478431239 4435293717 13305881151 14291501977 39917643453 42874505931 128623517793 385870553379 1157611660137