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968038722450 = 23252463812
BaseRepresentation
bin11100001011000111001…
…10101010101110010010
310102112200021122022002200
432011203212222232102
5111330020403104300
62020413313224030
7126636621242562
oct16054346525622
93375607568080
10968038722450
113435a7693028
12137742262016
13703937965a7
1434bd3742da2
151a2aa878200
hexe1639aab92

968038722450 has 54 divisors (see below), whose sum is σ = 2600853443487. Its totient is φ = 258138093600.

The previous prime is 968038722449. The next prime is 968038722457. The reversal of 968038722450 is 54227830869.

968038722450 is a `hidden beast` number, since 96 + 8 + 0 + 3 + 87 + 22 + 450 = 666.

968038722450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 503913997161 + 464124725289 = 709869^2 + 681267^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=695715.

It is not an unprimeable number, because it can be changed into a prime (968038722457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20848260 + ... + 20894640.

Almost surely, 2968038722450 is an apocalyptic number.

968038722450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

968038722450 is an abundant number, since it is smaller than the sum of its proper divisors (1632814721037).

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

968038722450 is an frugal number, since it uses more digits than its factorization.

968038722450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92780 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 968038722450 in words is "nine hundred sixty-eight billion, thirty-eight million, seven hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 46381 92762 139143 231905 278286 417429 463810 695715 834858 1159525 1391430 2087145 2319050 3478575 4174290 6957150 10435725 20871450 2151197161 4302394322 6453591483 10755985805 12907182966 19360774449 21511971610 32267957415 38721548898 53779929025 64535914830 96803872245 107559858050 161339787075 193607744490 322679574150 484019361225 968038722450