Search a number
-
+
57995788032 = 2832713318923
BaseRepresentation
bin110110000000110100…
…010111111100000000
312112200211022021210100
4312000310113330000
51422233410204112
642350511002400
74122122031060
oct660064277400
9175624267710
1057995788032
1122661123a36
12b2a6809400
135613469950
142b4261d3a0
15179680c2dc
hexd80d17f00

57995788032 has 432 divisors, whose sum is σ = 212467161088. Its totient is φ = 14800527360.

The previous prime is 57995788027. The next prime is 57995788033. The reversal of 57995788032 is 23088759975.

57995788032 is a `hidden beast` number, since 57 + 9 + 9 + 578 + 8 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×579957880322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57995788033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6495123 + ... + 6504045.

Almost surely, 257995788032 is an apocalyptic number.

57995788032 is a gapful number since it is divisible by the number (52) 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 57995788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106233580544).

57995788032 is an abundant number, since it is smaller than the sum of its proper divisors (154471373056).

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

57995788032 is a wasteful number, since it uses less digits than its factorization.

57995788032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 57995788032 in words is "fifty-seven billion, nine hundred ninety-five million, seven hundred eighty-eight thousand, thirty-two".