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1093009272912 = 243229261735937
BaseRepresentation
bin11111110011111000110…
…11011111000001010000
310212111020200210000222200
433321330123133001100
5120401440333213122
62154042130003200
7141652534346004
oct17717433370120
93774220700880
101093009272912
113915a7270297
121579ba716500
137c0bb69ac7b
143ac8ac82704
151d671db95ac
hexfe7c6df050

1093009272912 has 60 divisors (see below), whose sum is σ = 3164387490420. Its totient is φ = 351773097984.

The previous prime is 1093009272869. The next prime is 1093009272913. The reversal of 1093009272912 is 2192729003901.

1093009272912 is a `hidden beast` number, since 109 + 300 + 92 + 72 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 909246159936 + 183763112976 = 953544^2 + 428676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093009272913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130863793 + ... + 130872144.

It is an arithmetic number, because the mean of its divisors is an integer number (52739791507).

Almost surely, 21093009272912 is an apocalyptic number.

1093009272912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1093009272912 is an abundant number, since it is smaller than the sum of its proper divisors (2071378217508).

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

1093009272912 is a wasteful number, since it uses less digits than its factorization.

1093009272912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261735980 (or 261735971 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1093009272912 in words is "one trillion, ninety-three billion, nine million, two hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 261735937 523471874 785207811 1046943748 1570415622 2093887496 2355623433 3140831244 4187774992 4711246866 6281662488 7590342173 9422493732 12563324976 15180684346 18844987464 22771026519 30361368692 37689974928 45542053038 60722737384 68313079557 91084106076 121445474768 136626159114 182168212152 273252318228 364336424304 546504636456 1093009272912