Search a number
-
+
42370928964 = 223272134292
BaseRepresentation
bin100111011101100000…
…010001000101000100
311001100220101012121100
4213131200101011010
51143233424211324
631244232020100
73026663645100
oct473540210504
9131326335540
1042370928964
1116a73315071
128265b31630
133cc3330000
14209d420900
15117ec194c9
hex9dd811144

42370928964 has 405 divisors, whose sum is σ = 139787632257. Its totient is φ = 10789414272.

The previous prime is 42370928933. The next prime is 42370928983. The reversal of 42370928964 is 46982907324.

The square root of 42370928964 is 205842.

It is a perfect power (a square), and thus also a powerful number.

42370928964 is a `hidden beast` number, since 423 + 70 + 92 + 8 + 9 + 64 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 42336354564 + 34574400 = 205758^2 + 5880^2 .

It is a super-2 number, since 2×423709289642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42370928964.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1461066502 + ... + 1461066530.

Almost surely, 242370928964 is an apocalyptic number.

42370928964 is the 205842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42370928964

42370928964 is an abundant number, since it is smaller than the sum of its proper divisors (97416703293).

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

42370928964 is a wasteful number, since it uses less digits than its factorization.

42370928964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42370928964 in words is "forty-two billion, three hundred seventy million, nine hundred twenty-eight thousand, nine hundred sixty-four".