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64274864056 = 23133761273827
BaseRepresentation
bin111011110111000101…
…001001011110111000
320010220102111101210121
4323313011021132320
52023113331122211
645305533223024
74433535221134
oct736705113670
9203812441717
1064274864056
1125293537767
1210559631a74
1360a42b8650
14317a5163c4
151a12bbe271
hexef71497b8

64274864056 has 64 divisors (see below), whose sum is σ = 135479141280. Its totient is φ = 28390279680.

The previous prime is 64274864033. The next prime is 64274864089. The reversal of 64274864056 is 65046847246.

It is a super-2 number, since 2×642748640562 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 64274863994 and 64274864012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97815 + ... + 371641.

Almost surely, 264274864056 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 64274864056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67739570640).

64274864056 is an abundant number, since it is smaller than the sum of its proper divisors (71204277224).

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

64274864056 is a wasteful number, since it uses less digits than its factorization.

64274864056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273944 (or 273940 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 64274864056 in words is "sixty-four billion, two hundred seventy-four million, eight hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 26 37 52 61 74 104 122 148 244 296 481 488 793 962 1586 1924 2257 3172 3848 4514 6344 9028 18056 29341 58682 117364 234728 273827 547654 1095308 2190616 3559751 7119502 10131599 14239004 16703447 20263198 28478008 33406894 40526396 66813788 81052792 131710787 133627576 217144811 263421574 434289622 526843148 618027539 868579244 1053686296 1236055078 1737158488 2472110156 4944220312 8034358007 16068716014 32137432028 64274864056