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371924340736 = 2121327332
BaseRepresentation
bin1010110100110000110…
…10110001000000000000
31022120000001021002211211
411122120122301000000
522043200112400421
6442505405215504
735604426510004
oct5323032610000
91276001232754
10371924340736
1113380665a013
12600b8861594
13290c2b4cc00
141400355a704
159a1bbd99e1
hex56986b1000

371924340736 has 117 divisors (see below), whose sum is σ = 806471189919. Its totient is φ = 171423203328.

The previous prime is 371924340731. The next prime is 371924340769. The reversal of 371924340736 is 637043429173.

The square root of 371924340736 is 609856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22217691136 + 349706649600 = 149056^2 + 591360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 371924340736.

It is not an unprimeable number, because it can be changed into a prime (371924340731) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 507399826 + ... + 507400558.

Almost surely, 2371924340736 is an apocalyptic number.

371924340736 is the 609856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 371924340736

371924340736 is an abundant number, since it is smaller than the sum of its proper divisors (434546849183).

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

371924340736 is an frugal number, since it uses more digits than its factorization.

371924340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 49.

Multiplying 371924340736 by its sum of digits (49), we get a square (18224292696064 = 42689922).

The spelling of 371924340736 in words is "three hundred seventy-one billion, nine hundred twenty-four million, three hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 733 832 1024 1352 1466 1664 2048 2704 2932 3328 4096 5408 5864 6656 9529 10816 11728 13312 19058 21632 23456 26624 38116 43264 46912 53248 76232 86528 93824 123877 152464 173056 187648 247754 304928 346112 375296 495508 537289 609856 692224 750592 991016 1074578 1219712 1501184 1982032 2149156 2439424 3002368 3964064 4298312 4878848 6984757 7928128 8596624 9757696 13969514 15856256 17193248 19515392 27939028 31712512 34386496 39030784 55878056 63425024 68772992 90801841 111756112 126850048 137545984 181603682 223512224 253700096 275091968 363207364 447024448 507400192 550183936 726414728 894048896 1100367872 1452829456 1788097792 2200735744 2905658912 3576195584 5811317824 7152391168 11622635648 14304782336 23245271296 28609564672 46490542592 92981085184 185962170368 371924340736