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189194380464 = 24371379146477
BaseRepresentation
bin1011000000110011011…
…1010010010010110000
3200002100021121100010110
42300030313102102300
511044432230133324
6222525324101320
716445261462025
oct2601467222260
9602307540113
10189194380464
1173267328321
1230800994840
1314ac176206b
14922ad6d54c
154dc49ce329
hex2c0cdd24b0

189194380464 has 80 divisors (see below), whose sum is σ = 496947121920. Its totient is φ = 62012079360.

The previous prime is 189194380457. The next prime is 189194380469. The reversal of 189194380464 is 464083491981.

It is not an unprimeable number, because it can be changed into a prime (189194380469) 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, 1218394 + ... + 1364870.

It is an arithmetic number, because the mean of its divisors is an integer number (6211839024).

Almost surely, 2189194380464 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 189194380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248473560960).

189194380464 is an abundant number, since it is smaller than the sum of its proper divisors (307752741456).

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

189194380464 is a wasteful number, since it uses less digits than its factorization.

189194380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146938 (or 146932 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 189194380464 in words is "one hundred eighty-nine billion, one hundred ninety-four million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 379 426 568 758 852 1136 1137 1516 1704 2274 3032 3408 4548 6064 9096 18192 26909 53818 80727 107636 146477 161454 215272 292954 322908 430544 439431 585908 645816 878862 1171816 1291632 1757724 2343632 3515448 7030896 10399867 20799734 31199601 41599468 55514783 62399202 83198936 111029566 124798404 166397872 166544349 222059132 249596808 333088698 444118264 499193616 666177396 888236528 1332354792 2664709584 3941549593 7883099186 11824648779 15766198372 23649297558 31532396744 47298595116 63064793488 94597190232 189194380464