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1076427356016 = 24323975024779
BaseRepresentation
bin11111010101000000001…
…00011111011101110000
310210220110001222101021110
433222200010133131300
5120114010400343031
62142300501553320
7140524605362655
oct17524004373560
93726401871243
101076427356016
113855681a8741
12154751415840
137a6781aac1c
143a156913c2c
151d001278c46
hexfaa011f770

1076427356016 has 40 divisors (see below), whose sum is σ = 2901673745280. Its totient is φ = 343208721856.

The previous prime is 1076427356003. The next prime is 1076427356033. The reversal of 1076427356016 is 6106537246701.

It is a happy number.

1076427356016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10764273560162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487511286 + ... + 487513493.

It is an arithmetic number, because the mean of its divisors is an integer number (72541843632).

Almost surely, 21076427356016 is an apocalyptic number.

1076427356016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1076427356016 is an abundant number, since it is smaller than the sum of its proper divisors (1825246389264).

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

1076427356016 is a wasteful number, since it uses less digits than its factorization.

1076427356016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975024813 (or 975024807 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 1076427356016 in words is "one trillion, seventy-six billion, four hundred twenty-seven million, three hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 975024779 1950049558 2925074337 3900099116 5850148674 7800198232 11700297348 15600396464 22425569917 23400594696 44851139834 46801189392 67276709751 89702279668 134553419502 179404559336 269106839004 358809118672 538213678008 1076427356016