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122892328529 = 19291129197551
BaseRepresentation
bin111001001110011110…
…1000001111001010001
3102202012120121010100022
41302130331001321101
54003140414003104
6132242253033225
711610246362045
oct1623475017121
9382176533308
10122892328529
1148133574383
121b998485815
13b7864a0379
145d3b522025
1532e3d7bbbe
hex1c9cf41e51

122892328529 has 16 divisors (see below), whose sum is σ = 133940256000. Its totient is φ = 112309545600.

The previous prime is 122892328519. The next prime is 122892328541. The reversal of 122892328529 is 925823298221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122892328529 is a prime.

It is a super-2 number, since 2×1228923285292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122892328519) 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 15 ways as a sum of consecutive naturals, for example, 523304 + ... + 720854.

It is an arithmetic number, because the mean of its divisors is an integer number (8371266000).

Almost surely, 2122892328529 is an apocalyptic number.

122892328529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122892328529 is a deficient number, since it is larger than the sum of its proper divisors (11047927471).

122892328529 is a wasteful number, since it uses less digits than its factorization.

122892328529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198728.

The product of its digits is 2488320, while the sum is 53.

The spelling of 122892328529 in words is "one hundred twenty-two billion, eight hundred ninety-two million, three hundred twenty-eight thousand, five hundred twenty-nine".

Divisors: 1 19 29 551 1129 21451 32741 197551 622079 3753469 5728979 108850601 223035079 4237666501 6468017291 122892328529