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2054916516004 = 2211223228332
BaseRepresentation
bin11101111001110010100…
…100011010100010100100
321021110002122221220122021
4131321302210122202210
5232131432112003004
64212003212312524
7301314514121512
oct35716244324244
97243078856567
102054916516004
11722537890100
1229230b472744
1311ba15a82861
147165c14d4b2
15386be2d7d54
hex1de7291a8a4

2054916516004 has 81 divisors (see below), whose sum is σ = 4133531835489. Its totient is φ = 893126593920.

The previous prime is 2054916515959. The next prime is 2054916516043. The reversal of 2054916516004 is 4006156194502.

The square root of 2054916516004 is 1433498.

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., 806673422500 + 1248243093504 = 898150^2 + 1117248^2 .

It is a Duffinian number.

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, 725348572 + ... + 725351404.

Almost surely, 22054916516004 is an apocalyptic number.

2054916516004 is the 1433498-th square number.

It is an amenable number.

2054916516004 is an abundant number, since it is smaller than the sum of its proper divisors (2078615319485).

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

2054916516004 is an equidigital number, since it uses as much as digits as its factorization.

2054916516004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 2054916516004 in words is "two trillion, fifty-four billion, nine hundred sixteen million, five hundred sixteen thousand, four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 2116 2783 2833 5566 5666 5819 11132 11332 11638 23276 31163 62326 64009 65159 124652 128018 130318 256036 260636 342793 685586 716749 1371172 1433498 1498657 2866996 2997314 5994628 7884239 8025889 15768478 16051778 16485227 31536956 32103556 32970454 65940908 88284779 176569558 181337497 184595447 353139116 362674994 369190894 725349988 738381788 971132569 1942265138 2030549917 3884530276 4061099834 4245695281 8122199668 8491390562 16982781124 22336049087 44672098174 46702648091 89344196348 93405296182 186810592364 513729129001 1027458258002 2054916516004