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1019401199716 = 222324724672
BaseRepresentation
bin11101101010110010000…
…10111110000001100100
310121110020211012111011111
432311121002332001210
5113200213201342331
62100150105314404
7133435466141344
oct16653102760144
93543224174144
101019401199716
11363364446449
12145697495a04
137518a8a7983
14374a6db8d24
151b7b4b4edb1
hexed590be064

1019401199716 has 81 divisors (see below), whose sum is σ = 1909499069779. Its totient is φ = 476144749168.

The previous prime is 1019401199689. The next prime is 1019401199731. The reversal of 1019401199716 is 6179911049101.

The square root of 1019401199716 is 1009654.

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

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 1019401199716.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2182871715 + ... + 2182872181.

Almost surely, 21019401199716 is an apocalyptic number.

1019401199716 is the 1009654-th square number.

It is an amenable number.

1019401199716 is a deficient number, since it is larger than the sum of its proper divisors (890097870063).

1019401199716 is an frugal number, since it uses more digits than its factorization.

1019401199716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 49.

Multiplying 1019401199716 by its sum of digits (49), we get a square (49950658786084 = 70675782).

The spelling of 1019401199716 in words is "one trillion, nineteen billion, four hundred one million, one hundred ninety-nine thousand, seven hundred sixteen".

Divisors: 1 2 4 23 46 47 92 94 188 467 529 934 1058 1081 1868 2116 2162 2209 4324 4418 8836 10741 21482 21949 24863 42964 43898 49726 50807 87796 99452 101614 203228 218089 247043 436178 494086 504827 872356 988172 1009654 1031603 1168561 2019308 2063206 2337122 4126412 4674244 5016047 10032094 10250183 11611021 20064188 20500366 23222042 23726869 41000732 46444084 47453738 94907476 115369081 230738162 235754209 461476324 471508418 481758601 545717987 943016836 963517202 1091435974 1927034404 2182871948 5422346807 10844693614 11080447823 21689387228 22160895646 44321791292 254850299929 509700599858 1019401199716