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455009257254916 = 22721321172032
BaseRepresentation
bin110011101110101000001100…
…1001001011111000000000100
32012200001110102110200210010001
41213131100121021133000010
5434114332424324124131
64251420211144011044
7164561222364446200
oct14735203111370004
92180043373623101
10455009257254916
11121a86384720941
1243047a13760a84
13166b725bb97c00
1480507cbc57b00
153790c7d055261
hex19dd41925f004

455009257254916 has 81 divisors (see below), whose sum is σ = 1003009733376021. Its totient is φ = 180002126382624.

The previous prime is 455009257254857. The next prime is 455009257254983. The reversal of 455009257254916 is 619452752900554.

The square root of 455009257254916 is 21330946.

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

It can be written as a sum of positive squares in only one way, i.e., 67309061724100 + 387700195530816 = 8204210^2 + 19690104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3882173571 + ... + 3882290773.

Almost surely, 2455009257254916 is an apocalyptic number.

455009257254916 is the 21330946-th square number.

It is an amenable number.

455009257254916 is an abundant number, since it is smaller than the sum of its proper divisors (548000476121105).

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

455009257254916 is an frugal number, since it uses more digits than its factorization.

455009257254916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234450 (or 117225 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 64.

The spelling of 455009257254916 in words is "four hundred fifty-five trillion, nine billion, two hundred fifty-seven million, two hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 117203 234406 468812 820421 1523639 1640842 3047278 3281684 5742947 6094556 10665473 11485894 19807307 21330946 22971788 39614614 42661892 74658311 79229228 138651149 149316622 277302298 298633244 554604596 970558043 1941116086 3882232172 13736543209 27473086418 54946172836 96155802463 178575061717 192311604926 357150123434 384623209852 673090617241 714300246868 1250025432019 1346181234482 2321475802321 2500050864038 2692362468964 4642951604642 5000101728076 8750178024133 9285903209284 16250330616247 17500356048266 32500661232494 35000712096532 65001322464988 113752314313729 227504628627458 455009257254916