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38057339268 = 22331341964693
BaseRepresentation
bin100011011100011001…
…001110100110000100
310122020021121010222000
4203130121032212010
51110420134324033
625252220505300
72515045021614
oct433431164604
9118207533860
1038057339268
111515a415303
1274613ab230
133786763080
141bb059aa44
15ecb19da13
hex8dc64e984

38057339268 has 96 divisors (see below), whose sum is σ = 106512201600. Its totient is φ = 11681822592.

The previous prime is 38057339249. The next prime is 38057339339. The reversal of 38057339268 is 86293375083.

38057339268 is a `hidden beast` number, since 3 + 8 + 0 + 573 + 3 + 9 + 2 + 68 = 666.

It is a super-2 number, since 2×380573392682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555930 + ... + 620622.

It is an arithmetic number, because the mean of its divisors is an integer number (1109502100).

Almost surely, 238057339268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38057339268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53256100800).

38057339268 is an abundant number, since it is smaller than the sum of its proper divisors (68454862332).

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

38057339268 is a wasteful number, since it uses less digits than its factorization.

38057339268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65138 (or 65130 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38057339268 in words is "thirty-eight billion, fifty-seven million, three hundred thirty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 419 468 702 838 1257 1404 1676 2514 3771 5028 5447 7542 10894 11313 15084 16341 21788 22626 32682 45252 49023 64693 65364 98046 129386 147069 194079 196092 258772 294138 388158 582237 588276 776316 841009 1164474 1682018 1746711 2328948 2523027 3364036 3493422 5046054 6986844 7569081 10092108 15138162 22707243 27106367 30276324 45414486 54212734 81319101 90828972 108425468 162638202 243957303 325276404 352382771 487914606 704765542 731871909 975829212 1057148313 1409531084 1463743818 2114296626 2927487636 3171444939 4228593252 6342889878 9514334817 12685779756 19028669634 38057339268