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123019159068 = 2232134314874111
BaseRepresentation
bin111001010010010000…
…0110110011000011100
3102202112102020210010200
41302210200312120130
54003420401042233
6132303023303500
711613346412301
oct1624440663034
9382472223120
10123019159068
1148199121003
121ba12a4ab90
13b7a6849320
145d502d90a8
153300081313
hex1ca483661c

123019159068 has 144 divisors (see below), whose sum is σ = 342987380736. Its totient is φ = 36937918080.

The previous prime is 123019159061. The next prime is 123019159073. The reversal of 123019159068 is 860951910321.

123019159068 is a `hidden beast` number, since 12 + 30 + 19 + 1 + 590 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123019159061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29922333 + ... + 29926443.

Almost surely, 2123019159068 is an apocalyptic number.

123019159068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123019159068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171493690368).

123019159068 is an abundant number, since it is smaller than the sum of its proper divisors (219968221668).

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

123019159068 is a wasteful number, since it uses less digits than its factorization.

123019159068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 123019159068 in words is "one hundred twenty-three billion, nineteen million, one hundred fifty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1487 1548 1677 2236 2974 3354 4111 4461 5031 5948 6708 8222 8922 10062 12333 13383 16444 17844 19331 20124 24666 26766 36999 38662 49332 53443 53532 57993 63941 73998 77324 106886 115986 127882 147996 160329 173979 176773 191823 213772 231972 255764 320658 347958 353546 383646 480987 530319 575469 641316 695916 707092 767292 831233 961974 1060638 1150938 1590957 1662466 1923948 2121276 2298049 2301876 2493699 3181914 3324932 4596098 4987398 6113057 6363828 6894147 7481097 9192196 9974796 12226114 13788294 14962194 18339171 20682441 24452228 27576588 29924388 36678342 41364882 55017513 73356684 79469741 82729764 110035026 158939482 220070052 238409223 262861451 317878964 476818446 525722902 715227669 788584353 953636892 1051445804 1430455338 1577168706 2365753059 2860910676 3154337412 3417198863 4731506118 6834397726 9463012236 10251596589 13668795452 20503193178 30754789767 41006386356 61509579534 123019159068