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374442715136 = 2117210493557
BaseRepresentation
bin1010111001011101000…
…01100110100000000000
31022210111120000210001202
411130232201212200000
522113324313341021
6444003330520332
736024016364300
oct5345641464000
91283446023052
10374442715136
11134889172a76
12606a01360a8
1329404813889
14141a1bd1600
159b17d44a0b
hex572e866800

374442715136 has 144 divisors (see below), whose sum is σ = 872015098500. Its totient is φ = 160277397504.

The previous prime is 374442715121. The next prime is 374442715159. The reversal of 374442715136 is 631517244473.

It can be written as a sum of positive squares in 2 ways, for example, as 374230721536 + 211993600 = 611744^2 + 14560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105267470 + ... + 105271026.

Almost surely, 2374442715136 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 374442715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436007549250).

374442715136 is an abundant number, since it is smaller than the sum of its proper divisors (497572383364).

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

374442715136 is a wasteful number, since it uses less digits than its factorization.

374442715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4615 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 47.

The spelling of 374442715136 in words is "three hundred seventy-four billion, four hundred forty-two million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1049 1568 1792 2048 2098 3136 3557 3584 4196 6272 7114 7168 7343 8392 12544 14228 14336 14686 16784 24899 25088 28456 29372 33568 49798 50176 51401 56912 58744 67136 99596 100352 102802 113824 117488 134272 174293 199192 205604 227648 234976 268544 348586 398384 411208 455296 469952 537088 697172 796768 822416 910592 939904 1074176 1394344 1593536 1644832 1821184 1879808 2148352 2788688 3187072 3289664 3642368 3731293 3759616 5577376 6374144 6579328 7284736 7462586 7519232 11154752 12748288 13158656 14925172 15038464 22309504 25496576 26119051 26317312 29850344 44619008 50993152 52238102 52634624 59700688 89238016 104476204 105269248 119401376 178476032 182833357 208952408 238802752 356952064 365666714 417904816 477605504 731333428 835809632 955211008 1462666856 1671619264 1910422016 2925333712 3343238528 3820844032 5850667424 6686477056 7641688064 11701334848 13372954112 23402669696 26745908224 46805339392 53491816448 93610678784 187221357568 374442715136