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688392293232 = 2437191021105613
BaseRepresentation
bin10100000010001110110…
…00001100101101110000
32102210212020112210112110
422001013120030231300
542234311411340412
61244124255525320
7100510000642560
oct12010730145560
92383766483473
10688392293232
11245a44559806
12b14b9229840
134cbb8678bb7
1425465842da0
1512d8eec6d3c
hexa04760cb70

688392293232 has 160 divisors (see below), whose sum is σ = 2141480158720. Its totient is φ = 186147486720.

The previous prime is 688392293227. The next prime is 688392293243. The reversal of 688392293232 is 232392293886.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 6465258 + ... + 6570870.

It is an arithmetic number, because the mean of its divisors is an integer number (13384250992).

Almost surely, 2688392293232 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 688392293232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070740079360).

688392293232 is an abundant number, since it is smaller than the sum of its proper divisors (1453087865488).

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

688392293232 is a wasteful number, since it uses less digits than its factorization.

688392293232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106671 (or 106665 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 688392293232 in words is "six hundred eighty-eight billion, three hundred ninety-two million, two hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1021 1064 1596 2042 2128 3063 3192 4084 6126 6384 7147 8168 12252 14294 16336 19399 21441 24504 28588 38798 42882 49008 57176 58197 77596 85764 105613 114352 116394 135793 155192 171528 211226 232788 271586 310384 316839 343056 407379 422452 465576 543172 633678 739291 814758 844904 931152 1086344 1267356 1478582 1629516 1689808 2006647 2172688 2217873 2534712 2957164 3259032 4013294 4435746 5069424 5914328 6019941 6518064 8026588 8871492 11828656 12039882 14046529 16053176 17742984 24079764 28093058 32106352 35485968 42139587 48159528 56186116 84279174 96319056 107830873 112372232 168558348 215661746 224744464 323492619 337116696 431323492 646985238 674233392 754816111 862646984 1293970476 1509632222 1725293968 2048786587 2264448333 2587940952 3019264444 4097573174 4528896666 5175881904 6038528888 6146359761 8195146348 9057793332 12077057776 12292719522 14341506109 16390292696 18115586664 24585439044 28683012218 32780585392 36231173328 43024518327 49170878088 57366024436 86049036654 98341756176 114732048872 172098073308 229464097744 344196146616 688392293232