Search a number
-
+
157863060432 = 2436711219292
BaseRepresentation
bin1001001100000101011…
…1110010001111010000
3120002110202012101000000
42103001113302033100
510041300420413212
6200304333130000
714255664605460
oct2230127621720
9502422171000
10157863060432
1160a49644900
1226718029900
1311b6a61723c
1478d7badba0
15418e07a1dc
hex24c15f23d0

157863060432 has 1260 divisors, whose sum is σ = 628017339040. Its totient is φ = 37505825280.

The previous prime is 157863060431. The next prime is 157863060473. The reversal of 157863060432 is 234060368751.

157863060432 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 6 + 3 + 0 + 604 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157863060431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5443553794 + ... + 5443553822.

Almost surely, 2157863060432 is an apocalyptic number.

157863060432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157863060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314008669520).

157863060432 is an abundant number, since it is smaller than the sum of its proper divisors (470154278608).

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

157863060432 is a wasteful number, since it uses less digits than its factorization.

157863060432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 157863060432 in words is "one hundred fifty-seven billion, eight hundred sixty-three million, sixty thousand, four hundred thirty-two".