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67116760672 = 25131938322171
BaseRepresentation
bin111110100000011110…
…000111111001100000
320102020111000201001211
4332200132013321200
52044423342320142
650455533035504
74564134024043
oct764036077140
9212214021054
1067116760672
1126511730755
1211011325b94
136437cc4790
143369b24c5a
151b2c432917
hexfa0787e60

67116760672 has 96 divisors (see below), whose sum is σ = 150187806720. Its totient is φ = 29268656640.

The previous prime is 67116760661. The next prime is 67116760681. The reversal of 67116760672 is 27606761176.

67116760672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3016147 + ... + 3038317.

It is an arithmetic number, because the mean of its divisors is an integer number (1564456320).

Almost surely, 267116760672 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 67116760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75093903360).

67116760672 is an abundant number, since it is smaller than the sum of its proper divisors (83071046048).

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

67116760672 is a wasteful number, since it uses less digits than its factorization.

67116760672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22596 (or 22588 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

The spelling of 67116760672 in words is "sixty-seven billion, one hundred sixteen million, seven hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 383 416 494 608 766 988 1532 1976 3064 3952 4979 6128 7277 7904 9958 12256 14554 19916 22171 29108 39832 44342 58216 79664 88684 94601 116432 159328 177368 189202 232864 288223 354736 378404 421249 576446 709472 756808 842498 1152892 1513616 1684996 2305784 3027232 3369992 4611568 5476237 6739984 8491493 9223136 10952474 13479968 16982986 21904948 33965972 43809896 67931944 87619792 110389409 135863888 161338367 175239584 220778818 271727776 322676734 441557636 645353468 883115272 1290706936 1766230544 2097398771 2581413872 3532461088 4194797542 5162827744 8389595084 16779190168 33558380336 67116760672