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165242359464 = 233713174450613
BaseRepresentation
bin1001100111100100110…
…1100100111010101000
3120210112000122121020120
42121321031210322220
510201404021000324
6203524501123240
714636600611020
oct2317115447250
9523460577216
10165242359464
1164096005446
12280373b9520
1312775394280
147dd7c62a80
154471d19179
hex2679364ea8

165242359464 has 128 divisors (see below), whose sum is σ = 538346269440. Its totient is φ = 41016840192.

The previous prime is 165242359427. The next prime is 165242359531. The reversal of 165242359464 is 464953242561.

165242359464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1652423594642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188179 + ... + 2262434.

It is an arithmetic number, because the mean of its divisors is an integer number (4205830230).

Almost surely, 2165242359464 is an apocalyptic number.

165242359464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165242359464 is an abundant number, since it is smaller than the sum of its proper divisors (373103909976).

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

165242359464 is a wasteful number, since it uses less digits than its factorization.

165242359464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450659 (or 4450655 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 165242359464 in words is "one hundred sixty-five billion, two hundred forty-two million, three hundred fifty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 6188 9282 12376 18564 37128 4450613 8901226 13351839 17802452 26703678 31154291 35604904 53407356 57857969 62308582 75660421 93462873 106814712 115715938 124617164 151320842 173573907 186925746 226981263 231431876 249234328 302641684 347147814 373851492 405005783 453962526 462863752 529622947 605283368 694295628 747702984 810011566 907925052 983585473 1059245894 1215017349 1388591256 1588868841 1620023132 1815850104 1967170946 2118491788 2430034698 2950756419 3177737682 3240046264 3934341892 4236983576 4860069396 5901512838 6355475364 6885098311 7868683784 9720138792 11803025676 12710950728 13770196622 20655294933 23606051352 27540393244 41310589866 55080786488 82621179732 165242359464