Search a number
-
+
961386745088 = 28711293154251
BaseRepresentation
bin11011111110101110001…
…11011000110100000000
310101220111200202211121202
431333113013120310000
5111222410001320323
62013353250240332
7126313026333560
oct15772707306400
93356450684552
10961386745088
113407a3832a80
121363a65860a8
136c873603803
14347620dada0
151a01b8a6d28
hexdfd71d8d00

961386745088 has 288 divisors, whose sum is σ = 2554930667520. Its totient is φ = 349977600000.

The previous prime is 961386745079. The next prime is 961386745093. The reversal of 961386745088 is 880547683169.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17693963 + ... + 17748213.

It is an arithmetic number, because the mean of its divisors is an integer number (8871287040).

Almost surely, 2961386745088 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 961386745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277465333760).

961386745088 is an abundant number, since it is smaller than the sum of its proper divisors (1593543922432).

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

961386745088 is a wasteful number, since it uses less digits than its factorization.

961386745088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54345 (or 54331 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 65.

The spelling of 961386745088 in words is "nine hundred sixty-one billion, three hundred eighty-six million, seven hundred forty-five thousand, eighty-eight".