Search a number
-
+
5953260436992 = 2936112322741
BaseRepresentation
bin101011010100001100111…
…1110010011111000000000
3210002010101221210202000000
41112220121332103320000
51240014234132440432
620354520132000000
71153052225532501
oct126503176237000
923063357722000
105953260436992
111995844351a30
12801946a60000
1334250bc2c73b
141681d44daba8
15a4cd097d57c
hex56a19f93e00

5953260436992 has 840 divisors, whose sum is σ = 20345558847768. Its totient is φ = 1724953190400.

The previous prime is 5953260436897. The next prime is 5953260437009. The reversal of 5953260436992 is 2996340623595.

5953260436992 is a `hidden beast` number, since 5 + 9 + 5 + 3 + 260 + 4 + 369 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2171928742 + ... + 2171931482.

Almost surely, 25953260436992 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 5953260436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172779423884).

5953260436992 is an abundant number, since it is smaller than the sum of its proper divisors (14392298410776).

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

5953260436992 is an equidigital number, since it uses as much as digits as its factorization.

5953260436992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 5953260436992 in words is "five trillion, nine hundred fifty-three billion, two hundred sixty million, four hundred thirty-six thousand, nine hundred ninety-two".