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661434001056 = 25322296645837
BaseRepresentation
bin10011010000000001000…
…10011110011010100000
32100020021110202122212200
421220000202132122200
541314104101013211
61223505242053200
765533644146553
oct11500042363240
92306243678780
10661434001056
112355702828a4
12a8234aaa200
134a4b050c31a
142402937a69a
151231342eb56
hex9a0089e6a0

661434001056 has 36 divisors (see below), whose sum is σ = 1880952941322. Its totient is φ = 220478000256.

The previous prime is 661434001009. The next prime is 661434001103. The reversal of 661434001056 is 650100434166.

It is a happy number.

661434001056 is a `hidden beast` number, since 6 + 6 + 143 + 400 + 105 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (661434001009) and next prime (661434001103).

It can be written as a sum of positive squares in only one way, i.e., 555233619600 + 106200381456 = 745140^2 + 325884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 661434001056.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1148322631 + ... + 1148323206.

Almost surely, 2661434001056 is an apocalyptic number.

It is an amenable number.

661434001056 is an abundant number, since it is smaller than the sum of its proper divisors (1219518940266).

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

661434001056 is a wasteful number, since it uses less digits than its factorization.

661434001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296645853 (or 2296645842 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 661434001056 in words is "six hundred sixty-one billion, four hundred thirty-four million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2296645837 4593291674 6889937511 9186583348 13779875022 18373166696 20669812533 27559750044 36746333392 41339625066 55119500088 73492666784 82679250132 110239000176 165358500264 220478000352 330717000528 661434001056