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68839247693952 = 27322444512
BaseRepresentation
bin11111010011011111000101…
…11001111100100010000000
3100000201222010112101002102200
433221233202321330202000
533010330234402201302
6402224151441113200
720333320505565501
oct1751574271744200
9300658115332380
1068839247693952
111aa3061976243a
127879610928800
132c5468967a258
1412ddba1a36ba8
157e5a0073b81c
hex3e9be2e7c880

68839247693952 has 72 divisors (see below), whose sum is σ = 198092916352695. Its totient is φ = 22946322028800.

The previous prime is 68839247693873. The next prime is 68839247693981. The reversal of 68839247693952 is 25939674293886.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68839247693952 is a `hidden beast` number, since 6 + 8 + 8 + 3 + 9 + 2 + 476 + 93 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34419623846976 + 34419623846976 = 5866824^2 + 5866824^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5866824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 281485327 + ... + 281729777.

Almost surely, 268839247693952 is an apocalyptic number.

It is an amenable number.

68839247693952 is an abundant number, since it is smaller than the sum of its proper divisors (129253668658743).

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

68839247693952 is an frugal number, since it uses more digits than its factorization.

68839247693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488922 (or 244456 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 68839247693952 in words is "sixty-eight trillion, eight hundred thirty-nine billion, two hundred forty-seven million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 244451 488902 733353 977804 1466706 1955608 2200059 2933412 3911216 4400118 5866824 7822432 8800236 11733648 15644864 17600472 23467296 31289728 35200944 46934592 70401888 93869184 140803776 281607552 59756291401 119512582802 179268874203 239025165604 358537748406 478050331208 537806622609 717075496812 956100662416 1075613245218 1434150993624 1912201324832 2151226490436 2868301987248 3824402649664 4302452980872 5736603974496 7648805299328 8604905961744 11473207948992 17209811923488 22946415897984 34419623846976 68839247693952