Search a number
-
+
954349240464 = 2432814092
BaseRepresentation
bin11011110001100111010…
…01011100000010010000
310101020100020110120011100
431320303221130002100
5111114001401143324
62010231052144400
7125643443461434
oct15706351340220
93336306416140
10954349240464
113388122a2654
12134b61768100
136bcc15c8aa9
14342955ba9c4
1519c58b304c9
hexde33a5c090

954349240464 has 45 divisors (see below), whose sum is σ = 2670885196473. Its totient is φ = 318112505856.

The previous prime is 954349240447. The next prime is 954349240487. The reversal of 954349240464 is 464042943459.

The square root of 954349240464 is 976908.

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

954349240464 is a `hidden beast` number, since 9 + 54 + 3 + 4 + 92 + 40 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340696350864 + 613652889600 = 583692^2 + 783360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 954349240464.

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, 11682192 + ... + 11763600.

Almost surely, 2954349240464 is an apocalyptic number.

954349240464 is the 976908-th square number.

It is an amenable number.

954349240464 is an abundant number, since it is smaller than the sum of its proper divisors (1716535956009).

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

954349240464 is an frugal number, since it uses more digits than its factorization.

954349240464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162832 (or 81414 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 954349240464 in words is "nine hundred fifty-four billion, three hundred forty-nine million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 81409 162818 244227 325636 488454 651272 732681 976908 1302544 1465362 1953816 2930724 3907632 5861448 11722896 6627425281 13254850562 19882275843 26509701124 39764551686 53019402248 59646827529 79529103372 106038804496 119293655058 159058206744 238587310116 318116413488 477174620232 954349240464