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123869031966 = 232431375692053
BaseRepresentation
bin111001101011100101…
…0110110111000011110
3102211201122102210120200
41303113022312320132
54012140433010331
6132523223124330
711643406253661
oct1632712667036
9384648383520
10123869031966
11485949260a9
122000b5a36a6
13b8b09417b4
145dd11276d8
15334e9aa5e6
hex1cd72b6e1e

123869031966 has 96 divisors (see below), whose sum is σ = 277250070240. Its totient is φ = 39945249792.

The previous prime is 123869031943. The next prime is 123869031971. The reversal of 123869031966 is 669130968321.

123869031966 is a `hidden beast` number, since 1 + 238 + 6 + 90 + 319 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60334596 + ... + 60336648.

It is an arithmetic number, because the mean of its divisors is an integer number (2888021565).

Almost surely, 2123869031966 is an apocalyptic number.

123869031966 is an abundant number, since it is smaller than the sum of its proper divisors (153381038274).

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

123869031966 is a wasteful number, since it uses less digits than its factorization.

123869031966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 123869031966 in words is "one hundred twenty-three billion, eight hundred sixty-nine million, thirty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 43 86 129 137 258 274 387 411 569 774 822 1138 1233 1707 2053 2466 3414 4106 5121 5891 6159 10242 11782 12318 17673 18477 24467 35346 36954 48934 53019 73401 77953 88279 106038 146802 155906 176558 220203 233859 264837 281261 440406 467718 529674 562522 701577 794511 843783 1168157 1403154 1589022 1687566 2336314 2531349 3351979 3504471 5062698 6703958 7008942 10055937 10513413 12094223 20111874 21026826 24188446 30167811 36282669 50230751 60335622 72565338 100461502 108848007 150692253 160037509 217696014 301384506 320075018 452076759 480112527 904153518 960225054 1440337581 2880675162 6881612887 13763225774 20644838661 41289677322 61934515983 123869031966