Search a number
-
+
9404679557025 = 345223229632
BaseRepresentation
bin1000100011011011001010…
…0101011000111110100001
31020022002010021210022210000
42020312302211120332201
52213041240431311100
632000241121530213
71660315504151544
oct210666245307641
936262107708700
109404679557025
112aa6558480a25
12107a8341a3969
13532b1bb51b8c
1424729057485b
15114985d30900
hex88db2958fa1

9404679557025 has 135 divisors (see below), whose sum is σ = 18217219688899. Its totient is φ = 4796130350880.

The previous prime is 9404679556907. The next prime is 9404679557033. The reversal of 9404679557025 is 5207559764049.

The square root of 9404679557025 is 3066705.

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

9404679557025 is a `hidden beast` number, since 9 + 4 + 0 + 4 + 6 + 79 + 557 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3385684640529 + 6018994916496 = 1840023^2 + 2453364^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9404679557025 - 29 = 9404679556513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3174038194 + ... + 3174041156.

Almost surely, 29404679557025 is an apocalyptic number.

9404679557025 is the 3066705-th square number.

9404679557025 is the 1533353-rd centered octagonal number.

It is an amenable number.

9404679557025 is a deficient number, since it is larger than the sum of its proper divisors (8812540131874).

9404679557025 is an frugal number, since it uses more digits than its factorization.

9404679557025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 9404679557025 in words is "nine trillion, four hundred four billion, six hundred seventy-nine million, five hundred fifty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 529 575 621 675 1035 1587 1725 1863 2025 2645 2963 3105 4761 5175 7935 8889 9315 13225 14283 14815 15525 23805 26667 39675 42849 44445 46575 68149 71415 74075 80001 119025 133335 204447 214245 222225 240003 340745 357075 400005 613341 666675 1022235 1071225 1200015 1567427 1703725 1840023 2000025 3066705 4702281 5111175 5520069 6000075 7837135 8779369 9200115 14106843 15333525 23511405 26338107 27600345 39185675 42320529 43896845 46000575 70534215 79014321 117557025 126961587 131690535 138001725 201925487 211602645 219484225 237042963 352671075 395071605 605776461 634807935 658452675 711128889 1009627435 1058013225 1185214815 1817329383 1975358025 3028882305 3174039675 3555644445 4644286201 5048137175 5451988149 5926074075 9086646915 13932858603 15144411525 16355964447 17778222225 23221431005 27259940745 41798575809 45433234575 69664293015 81779822235 116107155025 125395727427 136299703725 208992879045 348321465075 376187182281 408899111175 626978637135 1044964395225 1880935911405 3134893185675 9404679557025