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34157857959 = 3229424130859
BaseRepresentation
bin11111110011111101…
…111000110010100111
310021011112000222020100
4133303331320302213
51024423402423314
623405241235143
72316315000501
oct376375706247
9107145028210
1034157857959
1113539247285
126753492ab3
1332b4907294
141920730d71
15d4db81c09
hex7f3f78ca7

34157857959 has 24 divisors (see below), whose sum is σ = 51054166800. Its totient is φ = 21980770560.

The previous prime is 34157857949. The next prime is 34157857969. The reversal of 34157857959 is 95975875143.

34157857959 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 7 + 8 + 579 + 59 = 666.

It is an interprime number because it is at equal distance from previous prime (34157857949) and next prime (34157857969).

It is not a de Polignac number, because 34157857959 - 28 = 34157857703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34157857896 and 34157857905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34157857949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091472 + ... + 1122330.

It is an arithmetic number, because the mean of its divisors is an integer number (2127256950).

Almost surely, 234157857959 is an apocalyptic number.

34157857959 is a deficient number, since it is larger than the sum of its proper divisors (16896308841).

34157857959 is a wasteful number, since it uses less digits than its factorization.

34157857959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35135 (or 35132 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 34157857959 in words is "thirty-four billion, one hundred fifty-seven million, eight hundred fifty-seven thousand, nine hundred fifty-nine".

Divisors: 1 3 9 29 87 261 4241 12723 30859 38169 92577 122989 277731 368967 894911 1106901 2684733 8054199 130873019 392619057 1177857171 3795317551 11385952653 34157857959