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122092641616 = 2411263064381
BaseRepresentation
bin111000110110101001…
…0011101110101010000
3102200010211211211010111
41301231102131311100
54000021204012431
6132031045011104
711551366221241
oct1615522356520
9380124754114
10122092641616
1147863127800
121b7b46b3a94
13b6898c9b4a
145ca3238cc8
153298a677b1
hex1c6d49dd50

122092641616 has 30 divisors (see below), whose sum is σ = 260014446986. Its totient is φ = 55496654400.

The previous prime is 122092641589. The next prime is 122092641623. The reversal of 122092641616 is 616146290221.

It can be written as a sum of positive squares in only one way, i.e., 122083155216 + 9486400 = 349404^2 + 3080^2 .

It is a super-2 number, since 2×1220926416162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 31530255 + ... + 31534126.

Almost surely, 2122092641616 is an apocalyptic number.

122092641616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122092641616 is an abundant number, since it is smaller than the sum of its proper divisors (137921805370).

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

122092641616 is a wasteful number, since it uses less digits than its factorization.

122092641616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63064411 (or 63064394 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 122092641616 in words is "one hundred twenty-two billion, ninety-two million, six hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 63064381 126128762 252257524 504515048 693708191 1009030096 1387416382 2774832764 5549665528 7630790101 11099331056 15261580202 30523160404 61046320808 122092641616