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18021519270976 = 26132408192
BaseRepresentation
bin1000001100011111101100…
…10000010010010001000000
32100210211200122220212220211
410012033312100102101000
54330231032413132401
6102154545513443504
73540004022220064
oct406176620222100
970724618825824
1018021519270976
115818979899021
122030836410594
13a09564105c00
14464363771aa4
15213bab1c8951
hex1063f6412440

18021519270976 has 63 divisors (see below), whose sum is σ = 38724888174021. Its totient is φ = 8317420510464.

The previous prime is 18021519270919. The next prime is 18021519271001. The reversal of 18021519270976 is 67907291512081.

The square root of 18021519270976 is 4245176.

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., 2665905217600 + 15355614053376 = 1632760^2 + 3918624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18021519270976.

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, 441477895 + ... + 441518713.

It is an arithmetic number, because the mean of its divisors is an integer number (614680764667).

Almost surely, 218021519270976 is an apocalyptic number.

18021519270976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18021519270976 is the 4245176-th square number.

It is an amenable number.

18021519270976 is an abundant number, since it is smaller than the sum of its proper divisors (20703368903045).

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

18021519270976 is an frugal number, since it uses more digits than its factorization.

18021519270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81676 (or 40834 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 58.

The spelling of 18021519270976 in words is "eighteen trillion, twenty-one billion, five hundred nineteen million, two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 40819 81638 163276 326552 530647 653104 1061294 1306208 2122588 2612416 4245176 6898411 8490352 13796822 16980704 27593644 33961408 55187288 110374576 220749152 441498304 1666190761 3332381522 6664763044 13329526088 21660479893 26659052176 43320959786 53318104352 86641919572 106636208704 173283839144 281586238609 346567678288 563172477218 693135356576 1126344954436 1386270713152 2252689908872 4505379817744 9010759635488 18021519270976