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122764914140 = 22511811688067
BaseRepresentation
bin111001001010101011…
…0111110110111011100
3102201212200211210122212
41302111112332313130
54002410304223030
6132221502055552
711604141360401
oct1622526766734
9381780753585
10122764914140
1148078659030
121b96187a5b8
13b765c7b73b
145d286362a8
1532d7aae595
hex1c955beddc

122764914140 has 48 divisors (see below), whose sum is σ = 281590452864. Its totient is φ = 44586676800.

The previous prime is 122764914131. The next prime is 122764914157. The reversal of 122764914140 is 41419467221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165614 + ... + 522453.

It is an arithmetic number, because the mean of its divisors is an integer number (5866467768).

Almost surely, 2122764914140 is an apocalyptic number.

122764914140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122764914140 is an abundant number, since it is smaller than the sum of its proper divisors (158825538724).

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

122764914140 is a wasteful number, since it uses less digits than its factorization.

122764914140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688898 (or 688896 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 122764914140 in words is "one hundred twenty-two billion, seven hundred sixty-four million, nine hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 811 1622 3244 4055 8110 8921 16220 17842 35684 44605 89210 178420 688067 1376134 2752268 3440335 6880670 7568737 13761340 15137474 30274948 37843685 75687370 151374740 558022337 1116044674 2232089348 2790111685 5580223370 6138245707 11160446740 12276491414 24552982828 30691228535 61382457070 122764914140