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3927068343552 = 2838396094601
BaseRepresentation
bin111001001001010111100…
…000110111110100000000
3111220102110010220200110010
4321021113200313310000
51003320113443443202
612204023103304520
7553502262105114
oct71112740676400
914812403820403
103927068343552
111284507779732
125351132ab140
132264231a8433
14d80dd231744
156c24330576c
hex39257837d00

3927068343552 has 72 divisors (see below), whose sum is σ = 10464187849920. Its totient is φ = 1307462348800.

The previous prime is 3927068343503. The next prime is 3927068343557. The reversal of 3927068343552 is 2553438607293.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3927068343492 and 3927068343501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3927068343557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2402949 + ... + 3691652.

It is an arithmetic number, because the mean of its divisors is an integer number (145335942360).

Almost surely, 23927068343552 is an apocalyptic number.

3927068343552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3927068343552 is an abundant number, since it is smaller than the sum of its proper divisors (6537119506368).

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

3927068343552 is an equidigital number, since it uses as much as digits as its factorization.

3927068343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095459 (or 6095445 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 3927068343552 in words is "three trillion, nine hundred twenty-seven billion, sixty-eight million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 839 1678 2517 3356 5034 6712 10068 13424 20136 26848 40272 53696 80544 107392 161088 214784 322176 644352 6094601 12189202 18283803 24378404 36567606 48756808 73135212 97513616 146270424 195027232 292540848 390054464 585081696 780108928 1170163392 1560217856 2340326784 4680653568 5113370239 10226740478 15340110717 20453480956 30680221434 40906961912 61360442868 81813923824 122720885736 163627847648 245441771472 327255695296 490883542944 654511390592 981767085888 1309022781184 1963534171776 3927068343552