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38213274042 = 23313122132441
BaseRepresentation
bin100011100101101100…
…000100100110111010
310122122011000110021000
4203211230010212322
51111230044232132
625315511025430
72521650320136
oct434554044672
9118564013230
1038213274042
111522a440419
1274a566b276
1337acb5c378
141bc718c3c6
15ed9c0187c
hex8e5b049ba

38213274042 has 64 divisors (see below), whose sum is σ = 85640353920. Its totient is φ = 12629635200.

The previous prime is 38213274037. The next prime is 38213274059. The reversal of 38213274042 is 24047231283.

It is a happy number.

38213274042 is a `hidden beast` number, since 38 + 213 + 2 + 7 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38213273988 and 38213274006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15653542 + ... + 15655982.

It is an arithmetic number, because the mean of its divisors is an integer number (1338130530).

Almost surely, 238213274042 is an apocalyptic number.

38213274042 is an abundant number, since it is smaller than the sum of its proper divisors (47427079878).

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

38213274042 is a wasteful number, since it uses less digits than its factorization.

38213274042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 38213274042 in words is "thirty-eight billion, two hundred thirteen million, two hundred seventy-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 131 262 393 786 1179 2213 2358 2441 3537 4426 4882 6639 7074 7323 13278 14646 19917 21969 39834 43938 59751 65907 119502 131814 289903 319771 579806 639542 869709 959313 1739418 1918626 2609127 2877939 5218254 5401933 5755878 7827381 8633817 10803866 15654762 16205799 17267634 32411598 48617397 97234794 145852191 291704382 707653223 1415306446 2122959669 4245919338 6368879007 12737758014 19106637021 38213274042