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7869897792 = 26343174789
BaseRepresentation
bin1110101010001010…
…10001110001000000
3202022110121020020000
413111011101301000
5112104143212132
63340531120000
7366011012301
oct72505216100
922273536200
107869897792
113379396769
121637743000
139855bcc73
145492bc7a8
15310d9b87c
hex1d5151c40

7869897792 has 140 divisors (see below), whose sum is σ = 23407321740. Its totient is φ = 2614477824.

The previous prime is 7869897779. The next prime is 7869897803. The reversal of 7869897792 is 2977989687.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 7378122816 = 22176^2 + 85896^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7869897792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1640934 + ... + 1645722.

Almost surely, 27869897792 is an apocalyptic number.

7869897792 is a gapful number since it is divisible by the number (72) 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 7869897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703660870).

7869897792 is an abundant number, since it is smaller than the sum of its proper divisors (15537423948).

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

7869897792 is a wasteful number, since it uses less digits than its factorization.

7869897792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5111 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 72.

The square root of 7869897792 is about 88712.4444032516. Note that the first 4 decimals coincide. The cubic root of 7869897792 is about 1989.0988396383.

The spelling of 7869897792 in words is "seven billion, eight hundred sixty-nine million, eight hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 317 324 432 576 634 648 864 951 1268 1296 1728 1902 2536 2592 2853 3804 4789 5072 5184 5706 7608 8559 9578 10144 11412 14367 15216 17118 19156 20288 22824 25677 28734 30432 34236 38312 43101 45648 51354 57468 60864 68472 76624 86202 91296 102708 114936 129303 136944 153248 172404 182592 205416 229872 258606 273888 306496 344808 387909 410832 459744 517212 547776 689616 775818 821664 919488 1034424 1379232 1518113 1551636 1643328 2068848 2758464 3036226 3103272 4137696 4554339 6072452 6206544 8275392 9108678 12144904 12413088 13663017 18217356 24289808 24826176 27326034 36434712 40989051 48579616 54652068 72869424 81978102 97159232 109304136 122967153 145738848 163956204 218608272 245934306 291477696 327912408 437216544 491868612 655824816 874433088 983737224 1311649632 1967474448 2623299264 3934948896 7869897792