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1826132868 = 223277246559
BaseRepresentation
bin110110011011000…
…1001001110000100
311201021012011100200
41230312021032010
512214442222433
6501112210500
763152605350
oct15466111604
94637164320
101826132868
1185789371a
1242b699a30
1323143cac1
1413475a460
15aa4bb613
hex6cd89384

1826132868 has 36 divisors (see below), whose sum is σ = 5275495680. Its totient is φ = 521752176.

The previous prime is 1826132857. The next prime is 1826132879. The reversal of 1826132868 is 8682316281.

1826132868 is a `hidden beast` number, since 1 + 8 + 2 + 613 + 28 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1826132857) and next prime (1826132879).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×18261328683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3623028 + ... + 3623531.

Almost surely, 21826132868 is an apocalyptic number.

1826132868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1826132868 is an abundant number, since it is smaller than the sum of its proper divisors (3449362812).

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

1826132868 is a wasteful number, since it uses less digits than its factorization.

1826132868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246576 (or 7246571 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1826132868 is about 42733.2758865969. The cubic root of 1826132868 is about 1222.2990036772.

The spelling of 1826132868 in words is "one billion, eight hundred twenty-six million, one hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7246559 14493118 21739677 28986236 43479354 50725913 65219031 86958708 101451826 130438062 152177739 202903652 260876124 304355478 456533217 608710956 913066434 1826132868