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2992969376 = 251983127467
BaseRepresentation
bin1011001001100101…
…0001011010100000
321201120210121010122
42302121101122200
522112200010001
61212553415412
7134111551145
oct26231213240
97646717118
102992969376
1112a64a9211
126b640a568
133890c23c7
142056d63cc
15127b55b1b
hexb26516a0

2992969376 has 96 divisors (see below), whose sum is σ = 6340239360. Its totient is φ = 1386637056.

The previous prime is 2992969351. The next prime is 2992969381. The reversal of 2992969376 is 6739692992.

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 15 ways as a sum of consecutive naturals, for example, 6408695 + ... + 6409161.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 22992969376 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 2992969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

2992969376 is an abundant number, since it is smaller than the sum of its proper divisors (3347269984).

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

2992969376 is a wasteful number, since it uses less digits than its factorization.

2992969376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 62.

The square root of 2992969376 is about 54708.0375813280. The cubic root of 2992969376 is about 1441.1220318769.

The spelling of 2992969376 in words is "two billion, nine hundred ninety-two million, nine hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 76 83 127 152 166 254 304 332 467 508 608 664 934 1016 1328 1577 1868 2032 2413 2656 3154 3736 4064 4826 6308 7472 8873 9652 10541 12616 14944 17746 19304 21082 25232 35492 38608 38761 42164 50464 59309 70984 77216 77522 84328 118618 141968 155044 168656 200279 237236 283936 310088 337312 400558 474472 620176 736459 801116 948944 1126871 1240352 1472918 1602232 1897888 2253742 2945836 3204464 4507484 4922647 5891672 6408928 9014968 9845294 11783344 18029936 19690588 23566688 36059872 39381176 78762352 93530293 157524704 187060586 374121172 748242344 1496484688 2992969376