Search a number
-
+
1474320494656 = 2623265992
BaseRepresentation
bin10101011101000100010…
…110010111000001000000
312012221110221010002211001
4111131010112113001000
5143123402021312111
63045143220501344
7211342015302022
oct25350426270100
95187427102731
101474320494656
1151928a5359a9
121b9896b4a854
13a9049198329
1451500d62012
152853cc021c1
hex15744597040

1474320494656 has 63 divisors (see below), whose sum is σ = 3058798905631. Its totient is φ = 705002950784.

The previous prime is 1474320494653. The next prime is 1474320494743. The reversal of 1474320494656 is 6564940234741.

The square root of 1474320494656 is 1214216.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1474320494597 and 1474320494606.

It is not an unprimeable number, because it can be changed into a prime (1474320494653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223412445 + ... + 223419043.

Almost surely, 21474320494656 is an apocalyptic number.

1474320494656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1474320494656 is the 1214216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1474320494656

1474320494656 is an abundant number, since it is smaller than the sum of its proper divisors (1584478410975).

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

1474320494656 is an frugal number, since it uses more digits than its factorization.

1474320494656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 1474320494656 in words is "one trillion, four hundred seventy-four billion, three hundred twenty million, four hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 6599 8464 13198 16928 26396 33856 52792 105584 151777 211168 303554 422336 607108 1214216 2428432 3490871 4856864 6981742 9713728 13963484 27926968 43546801 55853936 87093602 111707872 174187204 223415744 348374408 696748816 1001576423 1393497632 2003152846 2786995264 4006305692 8012611384 16025222768 23036257729 32050445536 46072515458 64100891072 92145030916 184290061832 368580123664 737160247328 1474320494656