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1157216157 = 32128579573
BaseRepresentation
bin100010011111001…
…1011011110011101
32222122111200010200
41010332123132131
54332221404112
6310455054113
740451114016
oct10476333635
92878450120
101157216157
11544244699
12283671339
131559947b6
14ad99400d
156b8d8cdc
hex44f9b79d

1157216157 has 6 divisors (see below), whose sum is σ = 1671534462. Its totient is φ = 771477432.

The previous prime is 1157216131. The next prime is 1157216189. The reversal of 1157216157 is 7516127511.

It is a happy number.

1157216157 is a `hidden beast` number, since 1 + 15 + 7 + 21 + 615 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1098325881 + 58890276 = 33141^2 + 7674^2 .

It is not a de Polignac number, because 1157216157 - 28 = 1157215901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157216117) 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 5 ways as a sum of consecutive naturals, for example, 64289778 + ... + 64289795.

It is an arithmetic number, because the mean of its divisors is an integer number (278589077).

Almost surely, 21157216157 is an apocalyptic number.

It is an amenable number.

1157216157 is a deficient number, since it is larger than the sum of its proper divisors (514318305).

1157216157 is a wasteful number, since it uses less digits than its factorization.

1157216157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128579579 (or 128579576 counting only the distinct ones).

The product of its digits is 14700, while the sum is 36.

The square root of 1157216157 is about 34017.8799603973. The cubic root of 1157216157 is about 1049.8763745607.

The spelling of 1157216157 in words is "one billion, one hundred fifty-seven million, two hundred sixteen thousand, one hundred fifty-seven".

Divisors: 1 3 9 128579573 385738719 1157216157