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65141663664 = 24371152133829
BaseRepresentation
bin111100101010101111…
…101110011110110000
320020010211112101022210
4330222233232132300
52031402231214124
645531535532120
74464162001530
oct745257563660
9206124471283
1065141663664
1125698853080
121075b98a040
1361b1a5941c
14321d6ad4c0
151a63d3da29
hexf2abee7b0

65141663664 has 160 divisors (see below), whose sum is σ = 210215831040. Its totient is φ = 16886937600.

The previous prime is 65141663641. The next prime is 65141663677. The reversal of 65141663664 is 46636614156.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1908702 + ... + 1942530.

It is an arithmetic number, because the mean of its divisors is an integer number (1313848944).

Almost surely, 265141663664 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 65141663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105107915520).

65141663664 is an abundant number, since it is smaller than the sum of its proper divisors (145074167376).

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

65141663664 is a wasteful number, since it uses less digits than its factorization.

65141663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34379 (or 34373 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 65141663664 in words is "sixty-five billion, one hundred forty-one million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 521 528 616 924 1042 1232 1563 1848 2084 3126 3647 3696 4168 5731 6252 7294 8336 10941 11462 12504 14588 17193 21882 22924 25008 29176 33829 34386 40117 43764 45848 58352 67658 68772 80234 87528 91696 101487 120351 135316 137544 160468 175056 202974 236803 240702 270632 275088 320936 372119 405948 473606 481404 541264 641872 710409 744238 811896 947212 962808 1116357 1420818 1488476 1623792 1894424 1925616 2232714 2604833 2841636 2976952 3788848 4465428 5209666 5683272 5953904 7814499 8930856 10419332 11366544 15628998 17624909 17861712 20838664 31257996 35249818 41677328 52874727 62515992 70499636 105749454 123374363 125031984 140999272 193873999 211498908 246748726 281998544 370123089 387747998 422997816 493497452 581621997 740246178 775495996 845995632 986994904 1163243994 1357117993 1480492356 1550991992 1973989808 2326487988 2714235986 2960984712 3101983984 4071353979 4652975976 5428471972 5921969424 8142707958 9305951952 10856943944 16285415916 21713887888 32570831832 65141663664