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76889683920 = 24357173264553
BaseRepresentation
bin100011110011011111…
…0110111011111010000
321100110120111122110010
41013212332313133100
52224432224341140
655153404434520
75361253346460
oct1074676673720
9240416448403
1076889683920
112a677249625
1212a9a248a40
1373349373ba
143a15a57ba0
1520003d8880
hex11e6fb77d0

76889683920 has 160 divisors (see below), whose sum is σ = 273984820992. Its totient is φ = 17473130496.

The previous prime is 76889683901. The next prime is 76889683921. The reversal of 76889683920 is 2938698867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76889683921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158364 + ... + 422916.

Almost surely, 276889683920 is an apocalyptic number.

76889683920 is a gapful number since it is divisible by the number (70) 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 76889683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136992410496).

76889683920 is an abundant number, since it is smaller than the sum of its proper divisors (197095137072).

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

76889683920 is a wasteful number, since it uses less digits than its factorization.

76889683920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264749 (or 264743 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 76889683920 in words is "seventy-six billion, eight hundred eighty-nine million, six hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 19376 20760 24220 29064 36330 41520 48440 58128 72660 96880 145320 264553 290640 529106 793659 1058212 1322765 1587318 1851871 2116424 2645530 3174636 3703742 3968295 4232848 5291060 5555613 6349272 7407484 7936590 9259355 10582120 11111226 12698544 14814968 15873180 18518710 21164240 22222452 27778065 29629936 31746360 37037420 44444904 45767669 55556130 63492720 74074840 88889808 91535338 111112260 137303007 148149680 183070676 222224520 228838345 274606014 320373683 366141352 444449040 457676690 549212028 640747366 686515035 732282704 915353380 961121049 1098424056 1281494732 1373030070 1601868415 1830706760 1922242098 2196848112 2562989464 2746060140 3203736830 3661413520 3844484196 4805605245 5125978928 5492120280 6407473660 7688968392 9611210490 10984240560 12814947320 15377936784 19222420980 25629894640 38444841960 76889683920