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65616536064 = 293472393803
BaseRepresentation
bin111101000111000011…
…001110001000000000
320021100221002101210110
4331013003032020000
52033340313123224
650051022031320
74512016232262
oct750703161000
9207327071713
1065616536064
1125911907802
1210872a18540
136259254201
1432667a3b32
151a90891929
hexf470ce200

65616536064 has 160 divisors (see below), whose sum is σ = 179319951360. Its totient is φ = 21311639552.

The previous prime is 65616536057. The next prime is 65616536137. The reversal of 65616536064 is 46063561656.

It is a super-2 number, since 2×656165360642 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17251987 + ... + 17255789.

It is an arithmetic number, because the mean of its divisors is an integer number (1120749696).

Almost surely, 265616536064 is an apocalyptic number.

65616536064 is a gapful number since it is divisible by the number (64) 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 65616536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89659975680).

65616536064 is an abundant number, since it is smaller than the sum of its proper divisors (113703415296).

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

65616536064 is a wasteful number, since it uses less digits than its factorization.

65616536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 65616536064 in words is "sixty-five billion, six hundred sixteen million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 239 256 282 376 384 478 512 564 717 752 768 956 1128 1434 1504 1536 1912 2256 2868 3008 3803 3824 4512 5736 6016 7606 7648 9024 11233 11409 11472 12032 15212 15296 18048 22466 22818 22944 24064 30424 30592 33699 36096 44932 45636 45888 60848 61184 67398 72192 89864 91272 91776 121696 122368 134796 178741 179728 182544 183552 243392 269592 357482 359456 365088 367104 486784 536223 539184 714964 718912 730176 908917 973568 1072446 1078368 1429928 1437824 1460352 1817834 1947136 2144892 2156736 2726751 2859856 2875648 2920704 3635668 4289784 4313472 5453502 5719712 5751296 5841408 7271336 8579568 8626944 10907004 11439424 14542672 17159136 17253888 21814008 22878848 29085344 34318272 42719099 43628016 45757696 58170688 68636544 85438198 87256032 91515392 116341376 128157297 137273088 170876396 174512064 232682752 256314594 274546176 341752792 349024128 465365504 512629188 683505584 698048256 1025258376 1367011168 1396096512 2050516752 2734022336 4101033504 5468044672 8202067008 10936089344 16404134016 21872178688 32808268032 65616536064