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461222989956 = 22321131892
BaseRepresentation
bin1101011011000110000…
…10000101000010000100
31122002111102102111120100
412231203002011002010
530024041041134311
6551514413204100
745215351505051
oct6554302050204
91562442374510
10461222989956
11168670398963
127547a790630
133465457c011
141847524c028
15bee66c8a56
hex6b63085084

461222989956 has 27 divisors (see below), whose sum is σ = 1165879524901. Its totient is φ = 153739638384.

The previous prime is 461222989943. The next prime is 461222989987. The reversal of 461222989956 is 659989222164.

The square root of 461222989956 is 679134.

It is a perfect power (a square), and thus also a powerful number.

461222989956 is a `hidden beast` number, since 4 + 612 + 2 + 2 + 9 + 8 + 9 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191114111556 + 270108878400 = 437166^2 + 519720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461222989893 and 461222989902.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4018210 + ... + 4131398.

Almost surely, 2461222989956 is an apocalyptic number.

461222989956 is the 679134-th square number.

It is an amenable number.

461222989956 is an abundant number, since it is smaller than the sum of its proper divisors (704656534945).

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

461222989956 is an frugal number, since it uses more digits than its factorization.

461222989956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226388 (or 113194 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 461222989956 in words is "four hundred sixty-one billion, two hundred twenty-two million, nine hundred eighty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 113189 226378 339567 452756 679134 1018701 1358268 2037402 4074804 12811749721 25623499442 38435249163 51246998884 76870498326 115305747489 153740996652 230611494978 461222989956