Search a number
-
+
87031233432 = 23361121353179
BaseRepresentation
bin101000100001101110…
…1110011101110011000
322022122100121202000000
41101003131303232120
52411214443432212
6103552005213000
76200500164303
oct1210335635630
9268570552000
1087031233432
1133a00953900
1214a4a701160
13828ca55280
1442d8905b3a
1523e59071dc
hex1443773b98

87031233432 has 672 divisors, whose sum is σ = 296727202800. Its totient is φ = 23751636480.

The previous prime is 87031233397. The next prime is 87031233539. The reversal of 87031233432 is 23433213078.

87031233432 is a `hidden beast` number, since 8 + 7 + 0 + 312 + 334 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 486207919 + ... + 486208097.

Almost surely, 287031233432 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 87031233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148363601400).

87031233432 is an abundant number, since it is smaller than the sum of its proper divisors (209695969368).

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

87031233432 is a wasteful number, since it uses less digits than its factorization.

87031233432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 87031233432 in words is "eighty-seven billion, thirty-one million, two hundred thirty-three thousand, four hundred thirty-two".