Search a number
-
+
42972887232 = 2634111797457
BaseRepresentation
bin101000000001011000…
…100011100011000000
311002220212001212010000
4220001120203203000
51201002024342412
631424054040000
73050623341342
oct500130434300
9132825055100
1042972887232
1117252090240
1283b3649000
13408ac63032
142119357292
1511b79c24dc
hexa016238c0

42972887232 has 560 divisors, whose sum is σ = 148982204448. Its totient is φ = 12103188480.

The previous prime is 42972887227. The next prime is 42972887291. The reversal of 42972887232 is 23278827924.

42972887232 is a `hidden beast` number, since 4 + 297 + 288 + 72 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94032348 + ... + 94032804.

Almost surely, 242972887232 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 42972887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74491102224).

42972887232 is an abundant number, since it is smaller than the sum of its proper divisors (106009317216).

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

42972887232 is a wasteful number, since it uses less digits than its factorization.

42972887232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 42972887232 in words is "forty-two billion, nine hundred seventy-two million, eight hundred eighty-seven thousand, two hundred thirty-two".