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42900832936 = 23131742157637
BaseRepresentation
bin100111111101000101…
…101100001010101000
311002201211111010012101
4213331011230022220
51200330103123221
631413001423144
73046060030453
oct477505541250
9132654433171
1042900832936
1117215446835
12839349aab4
134079055460
14210d95c49a
1511b14dcd91
hex9fd16c2a8

42900832936 has 64 divisors (see below), whose sum is σ = 91941832080. Its totient is φ = 18591068160.

The previous prime is 42900832921. The next prime is 42900832937. The reversal of 42900832936 is 63923800924.

42900832936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7394968036 + 35505864900 = 85994^2 + 188430^2 .

It is not an unprimeable number, because it can be changed into a prime (42900832937) 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, 715510 + ... + 773146.

Almost surely, 242900832936 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 42900832936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45970916040).

42900832936 is an abundant number, since it is smaller than the sum of its proper divisors (49040999144).

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

42900832936 is a wasteful number, since it uses less digits than its factorization.

42900832936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58094 (or 58090 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 42900832936 in words is "forty-two billion, nine hundred million, eight hundred thirty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 421 442 842 884 1684 1768 3368 5473 7157 10946 14314 21892 28628 43784 57256 57637 93041 115274 186082 230548 372164 461096 744328 749281 979829 1498562 1959658 2997124 3919316 5994248 7838632 12737777 24265177 25475554 48530354 50951108 97060708 101902216 194121416 315447301 412508009 630894602 825016018 1261789204 1650032036 2523578408 3300064072 5362604117 10725208234 21450416468 42900832936