Search a number
-
+
132622785234880 = 26510917941275147
BaseRepresentation
bin11110001001111010100110…
…000000001100011111000000
3122101120121120221011001110021
4132021322212000030133000
5114340342431010004010
61150022022203543224
736635452152313003
oct3611724600143700
9571517527131407
10132622785234880
1139292009883836
1212a5b22652ab14
1359003761ac155
1424a6d9707753a
15104ec5292e8da
hex789ea600c7c0

132622785234880 has 224 divisors, whose sum is σ = 320625742694400. Its totient is φ = 52245962330112.

The previous prime is 132622785234799. The next prime is 132622785234889. The reversal of 132622785234880 is 88432587226231.

It is a super-2 number, since 2×1326227852348802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132622785234889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25767004467 + ... + 25767009613.

Almost surely, 2132622785234880 is an apocalyptic number.

132622785234880 is a gapful number since it is divisible by the number (10) 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 132622785234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160312871347200).

132622785234880 is an abundant number, since it is smaller than the sum of its proper divisors (188002957459520).

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

132622785234880 is a wasteful number, since it uses less digits than its factorization.

132622785234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 61.

The spelling of 132622785234880 in words is "one hundred thirty-two trillion, six hundred twenty-two billion, seven hundred eighty-five million, two hundred thirty-four thousand, eight hundred eighty".