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162868117188 = 223729214915473
BaseRepresentation
bin1001011110101110110…
…0100011111011000100
3120120101120002121010110
42113223230203323010
510132023214222223
6202453124553020
714524011103620
oct2275354437304
9516346077113
10162868117188
1163087896047
1227694252770
131248752669a
147c507ca180
15438367ed93
hex25ebb23ec4

162868117188 has 144 divisors (see below), whose sum is σ = 452855894400. Its totient is φ = 44624713728.

The previous prime is 162868117187. The next prime is 162868117297. The reversal of 162868117188 is 881711868261.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (162868117187) 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, 10518220 + ... + 10533692.

It is an arithmetic number, because the mean of its divisors is an integer number (3144832600).

Almost surely, 2162868117188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162868117188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226427947200).

162868117188 is an abundant number, since it is smaller than the sum of its proper divisors (289987777212).

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

162868117188 is a wasteful number, since it uses less digits than its factorization.

162868117188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15663 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 57.

The spelling of 162868117188 in words is "one hundred sixty-two billion, eight hundred sixty-eight million, one hundred seventeen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 149 174 203 298 348 406 447 596 609 812 841 894 1043 1218 1682 1788 2086 2436 2523 3129 3364 4172 4321 5046 5887 6258 8642 10092 11774 12516 12963 15473 17284 17661 23548 25926 30247 30946 35322 46419 51852 60494 61892 70644 90741 92838 108311 120988 125309 181482 185676 216622 250618 324933 362964 375927 433244 448717 501236 649866 751854 877163 897434 1299732 1346151 1503708 1754326 1794868 2305477 2631489 2692302 3141019 3508652 4610954 5262978 5384604 6282038 6916431 9221908 9423057 10525956 12564076 13012793 13832862 16138339 18846114 26025586 27665724 32276678 37692228 39038379 48415017 52051172 64553356 66858833 78076758 91089551 96830034 133717666 156153516 182179102 193660068 200576499 267435332 273268653 364358204 401152998 468011831 546537306 802305996 936023662 1093074612 1404035493 1872047324 1938906157 2808070986 3877812314 5616141972 5816718471 7755624628 11633436942 13572343099 23266873884 27144686198 40717029297 54289372396 81434058594 162868117188