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68069459376 = 243623253733
BaseRepresentation
bin111111011001010000…
…011000010110110000
320111200212200211000000
4333121100120112300
52103401240200001
651134244430000
74626552600222
oct773120302660
9214625624000
1068069459376
1126960487356
12112383a8300
13655a4aca19
14341a47c412
151b85dbda86
hexfd94185b0

68069459376 has 140 divisors (see below), whose sum is σ = 206334458928. Its totient is φ = 21703220352.

The previous prime is 68069459347. The next prime is 68069459411. The reversal of 68069459376 is 67395496086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 141406 + ... + 395138.

Almost surely, 268069459376 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 68069459376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103167229464).

68069459376 is an abundant number, since it is smaller than the sum of its proper divisors (138264999552).

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

68069459376 is a wasteful number, since it uses less digits than its factorization.

68069459376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253782 (or 253761 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 68069459376 in words is "sixty-eight billion, sixty-nine million, four hundred fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 972 1104 1242 1296 1458 1656 1863 1944 2484 2916 3312 3726 3888 4968 5589 5832 7452 9936 11178 11664 14904 16767 22356 29808 33534 44712 67068 89424 134136 253733 268272 507466 761199 1014932 1522398 2029864 2283597 3044796 4059728 4567194 5835859 6089592 6850791 9134388 11671718 12179184 13701582 17507577 18268776 20552373 23343436 27403164 35015154 36537552 41104746 46686872 52522731 54806328 61657119 70030308 82209492 93373744 105045462 109612656 123314238 140060616 157568193 164418984 184971357 210090924 246628476 280121232 315136386 328837968 369942714 420181848 472704579 493256952 630272772 739885428 840363696 945409158 986513904 1260545544 1418113737 1479770856 1890818316 2521091088 2836227474 2959541712 3781636632 4254341211 5672454948 7563273264 8508682422 11344909896 17017364844 22689819792 34034729688 68069459376