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67855116864 = 2632946326321
BaseRepresentation
bin111111001100011110…
…101110101001000000
320111010221101002100110
4333030132232221000
52102431402214424
651101110351320
74621340656023
oct771436565100
9214127332313
1067855116864
1126860498687
121119865b540
136524c73432
1433d9c051ba
151b7217ec29
hexfcc7aea40

67855116864 has 112 divisors (see below), whose sum is σ = 186132337920. Its totient is φ = 21790433280.

The previous prime is 67855116859. The next prime is 67855116883. The reversal of 67855116864 is 46861155876.

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 15 ways as a sum of consecutive naturals, for example, 2564824 + ... + 2591144.

Almost surely, 267855116864 is an apocalyptic number.

67855116864 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 67855116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93066168960).

67855116864 is an abundant number, since it is smaller than the sum of its proper divisors (118277221056).

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

67855116864 is a wasteful number, since it uses less digits than its factorization.

67855116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26828 (or 26818 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 67855116864 in words is "sixty-seven billion, eight hundred fifty-five million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 463 464 696 926 928 1389 1392 1852 1856 2778 2784 3704 5556 5568 7408 11112 13427 14816 22224 26321 26854 29632 40281 44448 52642 53708 78963 80562 88896 105284 107416 157926 161124 210568 214832 315852 322248 421136 429664 631704 644496 763309 842272 859328 1263408 1288992 1526618 1684544 2289927 2526816 2577984 3053236 4579854 5053632 6106472 9159708 12186623 12212944 18319416 24373246 24425888 36559869 36638832 48746492 48851776 73119738 73277664 97492984 146239476 146555328 194985968 292478952 353412067 389971936 584957904 706824134 779943872 1060236201 1169915808 1413648268 2120472402 2339831616 2827296536 4240944804 5654593072 8481889608 11309186144 16963779216 22618372288 33927558432 67855116864