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40993182252 = 223211195448323
BaseRepresentation
bin100110001011011000…
…100101001000101100
310220210212220102102100
4212023120211020230
51132423223313002
630455414055100
72650564204611
oct461330451054
9126725812370
1040993182252
1116426645620
127b4064a490
133b33a73479
141dac462508
1510edcbd11c
hex98b62522c

40993182252 has 72 divisors (see below), whose sum is σ = 118991396160. Its totient is φ = 11768375520.

The previous prime is 40993182211. The next prime is 40993182253. The reversal of 40993182252 is 25228139904.

40993182252 is a `hidden beast` number, since 409 + 9 + 3 + 18 + 225 + 2 = 666.

It is a super-2 number, since 2×409931822522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40993182198 and 40993182207.

It is not an unprimeable number, because it can be changed into a prime (40993182253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716638 + ... + 2731685.

It is an arithmetic number, because the mean of its divisors is an integer number (1652658280).

Almost surely, 240993182252 is an apocalyptic number.

It is an amenable number.

40993182252 is an abundant number, since it is smaller than the sum of its proper divisors (77998213908).

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

40993182252 is a wasteful number, since it uses less digits than its factorization.

40993182252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448363 (or 5448358 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40993182252 in words is "forty billion, nine hundred ninety-three million, one hundred eighty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 5448323 10896646 16344969 21793292 32689938 49034907 59931553 65379876 98069814 103518137 119863106 179794659 196139628 207036274 239726212 310554411 359589318 414072548 539383977 621108822 719178636 931663233 1078767954 1138699507 1242217644 1863326466 2157535908 2277399014 3416098521 3726652932 4554798028 6832197042 10248295563 13664394084 20496591126 40993182252