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165000066672 = 243723912771609
BaseRepresentation
bin1001100110101011000…
…1010011011001110000
3120202220010201212000110
42121222301103121300
510200410004113142
6203444444021320
714630566266030
oct2315261233160
9522803655013
10165000066672
1163a81266271
1227b8a231840
131273711c95c
147db39d18c0
15445a90899c
hex266ac53670

165000066672 has 160 divisors (see below), whose sum is σ = 489868646400. Its totient is φ = 46879709184.

The previous prime is 165000066667. The next prime is 165000066683. The reversal of 165000066672 is 276660000561.

It is a self number, because there is not a number n which added to its sum of digits gives 165000066672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102547404 + ... + 102549012.

It is an arithmetic number, because the mean of its divisors is an integer number (3061679040).

Almost surely, 2165000066672 is an apocalyptic number.

165000066672 is a gapful number since it is divisible by the number (12) 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 165000066672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244934323200).

165000066672 is an abundant number, since it is smaller than the sum of its proper divisors (324868579728).

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

165000066672 is a wasteful number, since it uses less digits than its factorization.

165000066672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 165000066672 in words is "one hundred sixty-five billion, sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1277 1434 1609 1673 1912 2554 2868 3218 3346 3824 3831 4827 5019 5108 5736 6436 6692 7662 8939 9654 10038 10216 11263 11472 12872 13384 15324 17878 19308 20076 20432 22526 25744 26768 26817 30648 33789 35756 38616 40152 45052 53634 61296 67578 71512 77232 80304 90104 107268 135156 143024 180208 214536 270312 305203 384551 429072 540624 610406 769102 915609 1153653 1220812 1538204 1831218 2054693 2136421 2307306 2441624 2691857 3076408 3662436 4109386 4272842 4614612 4883248 5383714 6152816 6164079 6409263 7324872 8075571 8218772 8545684 9229224 10767428 12328158 12818526 14382851 14649744 16151142 16437544 17091368 18458448 21534856 24656316 25637052 28765702 32302284 32875088 34182736 43069712 43148553 49312632 51274104 57531404 64604568 86297106 98625264 102548208 115062808 129209136 172594212 230125616 345188424 491071627 690376848 982143254 1473214881 1964286508 2946429762 3437501389 3928573016 5892859524 6875002778 7857146032 10312504167 11785719048 13750005556 20625008334 23571438096 27500011112 41250016668 55000022224 82500033336 165000066672