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668459163264 = 2733760178283
BaseRepresentation
bin10011011101000110100…
…01010101111010000000
32100220102001211212201120
421232203101111322000
541423001021211024
61231030315432240
766203020065204
oct11564321257200
92326361755646
10668459163264
11238545853182
12a9675755680
134b05cab5239
14244d43a6b04
15125c5069479
hex9ba3455e80

668459163264 has 128 divisors (see below), whose sum is σ = 1826641279680. Its totient is φ = 216434073600.

The previous prime is 668459163259. The next prime is 668459163287. The reversal of 668459163264 is 462361954866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 668459163198 and 668459163207.

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, 8499867 + ... + 8578149.

Almost surely, 2668459163264 is an apocalyptic number.

668459163264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668459163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913320639840).

668459163264 is an abundant number, since it is smaller than the sum of its proper divisors (1158182116416).

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

668459163264 is a wasteful number, since it uses less digits than its factorization.

668459163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78938 (or 78926 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 60.

The spelling of 668459163264 in words is "six hundred sixty-eight billion, four hundred fifty-nine million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 601 888 1184 1202 1776 1803 2368 2404 3552 3606 4736 4808 7104 7212 9616 14208 14424 19232 22237 28848 38464 44474 57696 66711 76928 78283 88948 115392 133422 156566 177896 230784 234849 266844 313132 355792 469698 533688 626264 711584 939396 1067376 1252528 1423168 1878792 2134752 2505056 2846336 2896471 3757584 4269504 5010112 5792942 7515168 8539008 8689413 10020224 11585884 15030336 17378826 23171768 30060672 34757652 46343536 47048083 69515304 92687072 94096166 139030608 141144249 185374144 188192332 278061216 282288498 370748288 376384664 556122432 564576996 752769328 1112244864 1129153992 1505538656 1740779071 2258307984 3011077312 3481558142 4516615968 5222337213 6022154624 6963116284 9033231936 10444674426 13926232568 18066463872 20889348852 27852465136 41778697704 55704930272 83557395408 111409860544 167114790816 222819721088 334229581632 668459163264