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379546917393 = 37219617330517
BaseRepresentation
bin1011000010111101100…
…00100101101000010001
31100021200021111010020210
411201132300211220101
522204303002324033
6450210023354333
736264345365400
oct5413660455021
91307607433223
10379546917393
11136a68381746
12616855b29a9
1329a391278b7
1414527a59637
159d15ed0d63
hex585ec25a11

379546917393 has 96 divisors (see below), whose sum is σ = 638475623040. Its totient is φ = 199325629440.

The previous prime is 379546917389. The next prime is 379546917433. The reversal of 379546917393 is 393719645973.

It is a happy number.

It is not a de Polignac number, because 379546917393 - 22 = 379546917389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379546917313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12421971 + ... + 12452487.

It is an arithmetic number, because the mean of its divisors is an integer number (6650787740).

Almost surely, 2379546917393 is an apocalyptic number.

It is an amenable number.

379546917393 is a deficient number, since it is larger than the sum of its proper divisors (258928705647).

379546917393 is a wasteful number, since it uses less digits than its factorization.

379546917393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30687 (or 30680 counting only the distinct ones).

The product of its digits is 115736040, while the sum is 66.

The spelling of 379546917393 in words is "three hundred seventy-nine billion, five hundred forty-six million, nine hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 7 19 21 49 57 61 73 133 147 183 219 399 427 511 931 1159 1281 1387 1533 2793 2989 3477 3577 4161 4453 8113 8967 9709 10731 13359 24339 29127 30517 31171 56791 67963 84607 91551 93513 170373 203889 213619 218197 253821 579823 592249 640857 654591 1495333 1739469 1776747 1861537 2227741 4058761 4145743 4485999 5584611 6683223 12176283 12437229 13030759 15594187 28411327 35369203 39092277 42327079 46782561 85233981 91215313 106107609 109159309 126981237 135892201 247584421 273645939 296289553 327477927 407676603 742753263 888868659 951245407 1733090947 2074026871 2581951819 2853736221 5199272841 6222080613 6658717849 7745855457 18073662733 19976153547 54220988199 126515639131 379546917393