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1092142748664 = 233311459656039
BaseRepresentation
bin11111110010010001100…
…01111101001111111000
310212102000022021001012000
433321020301331033320
5120343202020424124
62153420133221000
7141622213123152
oct17711061751770
93772008231160
101092142748664
113911a2122850
121577b8491760
137bcb0cc5626
143ac07b5bad2
151d620ca16c9
hexfe48c7d3f8

1092142748664 has 64 divisors (see below), whose sum is σ = 3309523488000. Its totient is φ = 330952347360.

The previous prime is 1092142748603. The next prime is 1092142748689. The reversal of 1092142748664 is 4668472412901.

1092142748664 is a `hidden beast` number, since 1 + 0 + 92 + 14 + 2 + 7 + 486 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1092142748664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229825644 + ... + 229830395.

It is an arithmetic number, because the mean of its divisors is an integer number (51711304500).

Almost surely, 21092142748664 is an apocalyptic number.

It is an amenable number.

1092142748664 is an abundant number, since it is smaller than the sum of its proper divisors (2217380739336).

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

1092142748664 is a wasteful number, since it uses less digits than its factorization.

1092142748664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459656065 (or 459656055 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1092142748664 in words is "one trillion, ninety-two billion, one hundred forty-two million, seven hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 459656039 919312078 1378968117 1838624156 2757936234 3677248312 4136904351 5056216429 5515872468 8273808702 10112432858 11031744936 12410713053 15168649287 16547617404 20224865716 24821426106 30337298574 33095234808 40449731432 45505947861 49642852212 60674597148 91011895722 99285704424 121349194296 136517843583 182023791444 273035687166 364047582888 546071374332 1092142748664