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107068428269064 = 23323147969725927
BaseRepresentation
bin11000010110000011001111…
…101000100011011000001000
3112001002122022212010202000200
4120112003033220203120020
5103013202120114102224
61015414320143332200
731360303315121253
oct3026031750433010
9461078285122020
10107068428269064
113112a5135428a9
12100126b3bb1060
1347986813a02c2
141c621d500809a
15c5a1676165c9
hex6160cfa23608

107068428269064 has 48 divisors (see below), whose sum is σ = 299331089790720. Its totient is φ = 34538202666720.

The previous prime is 107068428269039. The next prime is 107068428269087. The reversal of 107068428269064 is 460962824860701.

107068428269064 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 68 + 428 + 2 + 6 + 90 + 64 = 666.

It is a super-2 number, since 2×1070684282690642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107068428268992 and 107068428269010.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23984860732 + ... + 23984865195.

It is an arithmetic number, because the mean of its divisors is an integer number (6236064370640).

Almost surely, 2107068428269064 is an apocalyptic number.

It is an amenable number.

107068428269064 is an abundant number, since it is smaller than the sum of its proper divisors (192262661521656).

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

107068428269064 is a wasteful number, since it uses less digits than its factorization.

107068428269064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47969725970 (or 47969725963 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 107068428269064 in words is "one hundred seven trillion, sixty-eight billion, four hundred twenty-eight million, two hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 47969725927 95939451854 143909177781 191878903708 287818355562 383757807416 431727533343 575636711124 863455066686 1151273422248 1487061503737 1726910133372 2974123007474 3453820266744 4461184511211 5948246014948 8922369022422 11896492029896 13383553533633 17844738044844 26767107067266 35689476089688 53534214134532 107068428269064