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42942504352 = 25111915740897
BaseRepresentation
bin100111111111100100…
…101001110110100000
311002211201220020122011
4213333210221312200
51200421240114402
631421050522304
73050104156456
oct477744516640
9132751806564
1042942504352
1117236a19120
1283a5436394
1340848859b7
1421152c89d6
1511b4ebeed7
hex9ff929da0

42942504352 has 96 divisors (see below), whose sum is σ = 97703686080. Its totient is φ = 18373754880.

The previous prime is 42942504329. The next prime is 42942504391. The reversal of 42942504352 is 25340524924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029568 + ... + 1070464.

It is an arithmetic number, because the mean of its divisors is an integer number (1017746730).

Almost surely, 242942504352 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 42942504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48851843040).

42942504352 is an abundant number, since it is smaller than the sum of its proper divisors (54761181728).

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

42942504352 is a wasteful number, since it uses less digits than its factorization.

42942504352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41094 (or 41086 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 42942504352 in words is "forty-two billion, nine hundred forty-two million, five hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 157 176 209 304 314 352 418 608 628 836 1256 1672 1727 2512 2983 3344 3454 5024 5966 6688 6908 11932 13816 23864 27632 32813 40897 47728 55264 65626 81794 95456 131252 163588 262504 327176 449867 525008 654352 777043 899734 1050016 1308704 1554086 1799468 3108172 3598936 6216344 6420829 7197872 8547473 12432688 12841658 14395744 17094946 24865376 25683316 34189892 51366632 68379784 70629119 102733264 121995751 136759568 141258238 205466528 243991502 273519136 282516476 487983004 565032952 975966008 1130065904 1341953261 1951932016 2260131808 2683906522 3903864032 5367813044 10735626088 21471252176 42942504352