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492946741344 = 253131391710007
BaseRepresentation
bin1110010110001011110…
…10100101100001100000
31202010101022021001022110
413023011322211201200
531034023331210334
61014242343235320
750420452111131
oct7130572454140
91663338231273
10492946741344
1118006a647912
127b652a48b40
133763bab8445
1419c045a1c88
15cc517e8ae9
hex72c5ea5860

492946741344 has 96 divisors (see below), whose sum is σ = 1304326146816. Its totient is φ = 163003343360.

The previous prime is 492946741319. The next prime is 492946741349. The reversal of 492946741344 is 443147649294.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492946741349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49255189 + ... + 49265195.

It is an arithmetic number, because the mean of its divisors is an integer number (13586730696).

Almost surely, 2492946741344 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 492946741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652163073408).

492946741344 is an abundant number, since it is smaller than the sum of its proper divisors (811379405472).

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

492946741344 is a wasteful number, since it uses less digits than its factorization.

492946741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14068 (or 14060 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 57.

The spelling of 492946741344 in words is "four hundred ninety-two billion, nine hundred forty-six million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 3917 4192 6288 7834 10007 11751 12576 15668 20014 23502 30021 31336 40028 47004 60042 62672 80056 94008 120084 125344 160112 188016 240168 320224 376032 480336 513127 960672 1026254 1310917 1539381 2052508 2621834 3078762 3932751 4105016 5243668 6157524 7865502 8210032 10487336 12315048 15731004 16420064 20974672 24630096 31462008 39197419 41949344 49260192 62924016 78394838 117592257 125848032 156789676 235184514 313579352 470369028 627158704 940738056 1254317408 1881476112 3762952224 5134861889 10269723778 15404585667 20539447556 30809171334 41078895112 61618342668 82157790224 123236685336 164315580448 246473370672 492946741344