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90639123189121 = 131131791619212909
BaseRepresentation
bin10100100110111110010000…
…101111011000110110000001
3102212221000102100010021001001
4110212332100233120312001
543340012411014022441
6520435012141412001
725043313653115553
oct2446762057306601
9385830370107031
1090639123189121
11269759220a0801
12a1ba576b6a001
133b76304162990
141854d57cd34d3
15a72ae9235731
hex526f90bd8d81

90639123189121 has 32 divisors (see below), whose sum is σ = 99086951376000. Its totient is φ = 82411869969408.

The previous prime is 90639123189113. The next prime is 90639123189227. The reversal of 90639123189121 is 12198132193609.

It is a cyclic number.

It is not a de Polignac number, because 90639123189121 - 23 = 90639123189113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90639123139121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 425611215 + ... + 425824123.

It is an arithmetic number, because the mean of its divisors is an integer number (3096467230500).

Almost surely, 290639123189121 is an apocalyptic number.

It is an amenable number.

90639123189121 is a deficient number, since it is larger than the sum of its proper divisors (8447828186879).

90639123189121 is a wasteful number, since it uses less digits than its factorization.

90639123189121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214833.

The product of its (nonzero) digits is 1259712, while the sum is 55.

The spelling of 90639123189121 in words is "ninety trillion, six hundred thirty-nine billion, one hundred twenty-three million, one hundred eighty-nine thousand, one hundred twenty-one".

Divisors: 1 13 113 179 1469 1619 2327 20227 21047 182947 212909 262951 289801 2378311 2767817 3767413 24058717 32747513 38110711 312763321 344699671 425717669 495439243 4306510343 4481095723 38951062823 55984634459 61701241109 506363816699 802116134417 6972240245317 90639123189121