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1134166062132 = 2232373593142433
BaseRepresentation
bin10000100000010001100…
…100001011010000110100
311000102110222112112222100
4100200101210023100310
5122040233002442012
62225010110502100
7144640456315065
oct20402144132064
94012428475870
101134166062132
113a7aa71a1184
12163985b04930
1382c4a2c589c
143cc72d3256c
151e7802038dc
hex1081190b434

1134166062132 has 72 divisors (see below), whose sum is σ = 2879473661064. Its totient is φ = 376403337216.

The previous prime is 1134166062097. The next prime is 1134166062143. The reversal of 1134166062132 is 2312606614311.

1134166062132 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 16 + 606 + 2 + 1 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393475180176 + 740690881956 = 627276^2 + 860634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7891588 + ... + 8034020.

It is an arithmetic number, because the mean of its divisors is an integer number (39992689737).

Almost surely, 21134166062132 is an apocalyptic number.

1134166062132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1134166062132 is an abundant number, since it is smaller than the sum of its proper divisors (1745307598932).

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

1134166062132 is a wasteful number, since it uses less digits than its factorization.

1134166062132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143409 (or 143404 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1134166062132 in words is "one trillion, one hundred thirty-four billion, one hundred sixty-six million, sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 373 593 746 1119 1186 1492 1779 2238 2372 3357 3558 4476 5337 6714 7116 10674 13428 21348 142433 221189 284866 427299 442378 569732 663567 854598 884756 1281897 1327134 1709196 1990701 2563794 2654268 3981402 5127588 7962804 53127509 84462769 106255018 159382527 168925538 212510036 253388307 318765054 337851076 478147581 506776614 637530108 760164921 956295162 1013553228 1520329842 1912590324 3040659684 31504612837 63009225674 94513838511 126018451348 189027677022 283541515533 378055354044 567083031066 1134166062132