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67906130656 = 2571323075843
BaseRepresentation
bin111111001111100001…
…010101001011100000
320111021111100212010011
4333033201111023200
52103032432140111
651110132014304
74622530405210
oct771741251340
9214244325104
1067906130656
1126887271041
12111b1761394
1365326c5100
1434028c4240
151b768aa021
hexfcf8552e0

67906130656 has 144 divisors (see below), whose sum is σ = 166013172864. Its totient is φ = 26771876352.

The previous prime is 67906130651. The next prime is 67906130671. The reversal of 67906130656 is 65603160976.

It is a super-2 number, since 2×679061306562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67906130651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11618871 + ... + 11624713.

It is an arithmetic number, because the mean of its divisors is an integer number (1152869256).

Almost surely, 267906130656 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 67906130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83006586432).

67906130656 is an abundant number, since it is smaller than the sum of its proper divisors (98107042208).

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

67906130656 is a wasteful number, since it uses less digits than its factorization.

67906130656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 67906130656 in words is "sixty-seven billion, nine hundred six million, one hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 307 338 364 416 614 676 728 1183 1228 1352 1456 2149 2366 2456 2704 2912 3991 4298 4732 4912 5408 5843 7982 8596 9464 9824 11686 15964 17192 18928 23372 27937 31928 34384 37856 40901 46744 51883 55874 63856 68768 75959 81802 93488 103766 111748 127712 151918 163604 186976 207532 223496 303836 327208 363181 415064 446992 531713 607672 654416 726362 830128 893984 987467 1063426 1215344 1308832 1452724 1660256 1793801 1974934 2126852 2430688 2905448 3587602 3949868 4253704 5810896 6912269 7175204 7899736 8507408 11621792 12556607 13824538 14350408 15799472 17014816 23319413 25113214 27649076 28700816 31598944 46638826 50226428 55298152 57401632 93277652 100452856 110596304 163235891 186555304 200905712 221192608 303152369 326471782 373110608 401811424 606304738 652943564 746221216 1212609476 1305887128 2122066583 2425218952 2611774256 4244133166 4850437904 5223548512 8488266332 9700875808 16976532664 33953065328 67906130656