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2959121407 = 11617955823
BaseRepresentation
bin1011000001100000…
…1001101111111111
321122020002221110011
42300120021233333
522030013341112
61205344124051
7133221055054
oct26030115777
97566087404
102959121407
11128938a790
126a7006627
133820a0b18
1420100502b
15124bbbaa7
hexb0609bff

2959121407 has 16 divisors (see below), whose sum is σ = 3322644480. Its totient is φ = 2612469600.

The previous prime is 2959121383. The next prime is 2959121447. The reversal of 2959121407 is 7041219592.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2959121407 - 231 = 811637759 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2959121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959121447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25098 + ... + 80920.

It is an arithmetic number, because the mean of its divisors is an integer number (207665280).

Almost surely, 22959121407 is an apocalyptic number.

2959121407 is a deficient number, since it is larger than the sum of its proper divisors (363523073).

2959121407 is a wasteful number, since it uses less digits than its factorization.

2959121407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55974.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 2959121407 is about 54397.8070054299. The cubic root of 2959121407 is about 1435.6687962905.

The spelling of 2959121407 in words is "two billion, nine hundred fifty-nine million, one hundred twenty-one thousand, four hundred seven".

Divisors: 1 11 61 79 671 869 4819 53009 55823 614053 3405203 4410017 37457233 48510187 269011037 2959121407