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379551328416 = 25331333791963
BaseRepresentation
bin1011000010111110000…
…01011010100010100000
31100021200120210020001000
411201133001122202200
522204310120002131
6450210302112000
736264431026461
oct5413701324240
91307616706030
10379551328416
11136a6a914817
1261686b7b600
1329a3a010580
1414528486d68
159d165a2ce6
hex585f05a8a0

379551328416 has 96 divisors (see below), whose sum is σ = 1192180489920. Its totient is φ = 116785020672.

The previous prime is 379551328379. The next prime is 379551328423. The reversal of 379551328416 is 614823155973.

It is a happy number.

379551328416 is a `hidden beast` number, since 3 + 7 + 9 + 551 + 3 + 2 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16884750 + ... + 16907213.

It is an arithmetic number, because the mean of its divisors is an integer number (12418546770).

Almost surely, 2379551328416 is an apocalyptic number.

379551328416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379551328416 is an abundant number, since it is smaller than the sum of its proper divisors (812629161504).

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

379551328416 is a wasteful number, since it uses less digits than its factorization.

379551328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33791995 (or 33791981 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 379551328416 in words is "three hundred seventy-nine billion, five hundred fifty-one million, three hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 33791963 67583926 101375889 135167852 202751778 270335704 304127667 405503556 439295519 540671408 608255334 811007112 878591038 912383001 1081342816 1216510668 1317886557 1622014224 1757182076 1824766002 2433021336 2635773114 3244028448 3514364152 3649532004 3953659671 4866042672 5271546228 7028728304 7299064008 7907319342 9732085344 10543092456 11860979013 14057456608 14598128016 15814638684 21086184912 23721958026 29196256032 31629277368 42172369824 47443916052 63258554736 94887832104 126517109472 189775664208 379551328416