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645157387776 = 29311358310657
BaseRepresentation
bin10010110001101100110…
…00000111111000000000
32021200021010110000222210
421120312120013320000
541032240242402101
61212214201502120
764416413212536
oct11306630077000
92250233400883
10645157387776
11229678587390
12a5051aa1940
1348ab83560c5
14233237a2156
1511bae4e97d6
hex9636607e00

645157387776 has 160 divisors (see below), whose sum is σ = 1875687948288. Its totient is φ = 195429335040.

The previous prime is 645157387727. The next prime is 645157387789. The reversal of 645157387776 is 677783751546.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 60533040 + ... + 60543696.

Almost surely, 2645157387776 is an apocalyptic number.

645157387776 is a gapful number since it is divisible by the number (66) 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 645157387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937843974144).

645157387776 is an abundant number, since it is smaller than the sum of its proper divisors (1230530560512).

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

645157387776 is a wasteful number, since it uses less digits than its factorization.

645157387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272 (or 14256 counting only the distinct ones).

The product of its digits is 207446400, while the sum is 66.

The spelling of 645157387776 in words is "six hundred forty-five billion, one hundred fifty-seven million, three hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 3583 4224 5632 7166 8448 10657 10749 14332 16896 21314 21498 28664 31971 39413 42628 42996 57328 63942 78826 85256 85992 114656 117227 118239 127884 157652 170512 171984 229312 234454 236478 255768 315304 341024 343968 351681 458624 468908 472956 511536 630608 682048 687936 703362 917248 937816 945912 1023072 1261216 1364096 1375872 1406724 1834496 1875632 1891824 2046144 2522432 2728192 2751744 2813448 3751264 3783648 4092288 5044864 5456384 5503488 5626896 7502528 7567296 8184576 10089728 11253792 15005056 15134592 16369152 20179456 22507584 30010112 30269184 38184031 45015168 60020224 60538368 76368062 90030336 114552093 152736124 180060672 229104186 305472248 420024341 458208372 610944496 840048682 916416744 1221888992 1260073023 1680097364 1832833488 2443777984 2520146046 3360194728 3665666976 4887555968 5040292092 6720389456 7331333952 9775111936 10080584184 13440778912 14662667904 19550223872 20161168368 26881557824 29325335808 40322336736 53763115648 58650671616 80644673472 107526231296 161289346944 215052462592 322578693888 645157387776