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78117201216 = 2632612223281
BaseRepresentation
bin100100011000000100…
…1011110010101000000
321110122010021222121200
41020300021132111000
52234441000414331
655515254421200
75433550153215
oct1106011362500
9243563258550
1078117201216
113014713a52a
1213181361800
13749c0447b2
143ad0aabb0c
15207305c5e6
hex123025e540

78117201216 has 84 divisors (see below), whose sum is σ = 227579592084. Its totient is φ = 25612185600.

The previous prime is 78117201209. The next prime is 78117201229. The reversal of 78117201216 is 61210271187.

It can be written as a sum of positive squares in 2 ways, for example, as 38532119616 + 39585081600 = 196296^2 + 198960^2 .

It is a super-2 number, since 2×781172012162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076505 + ... + 1146776.

Almost surely, 278117201216 is an apocalyptic number.

It is an amenable number.

78117201216 is an abundant number, since it is smaller than the sum of its proper divisors (149462390868).

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

78117201216 is a wasteful number, since it uses less digits than its factorization.

78117201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223360 (or 2223347 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

It can be divided in two parts, 7811 and 7201216, that added together give a palindrome (7209027).

The spelling of 78117201216 in words is "seventy-eight billion, one hundred seventeen million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 2223281 4446562 6669843 8893124 13339686 17786248 20009529 26679372 35572496 40019058 53358744 71144992 80038116 106717488 135620141 142289984 160076232 213434976 271240282 320152464 406860423 426869952 542480564 640304928 813720846 1084961128 1220581269 1280609856 1627441692 2169922256 2441162538 3254883384 4339844512 4882325076 6509766768 8679689024 9764650152 13019533536 19529300304 26039067072 39058600608 78117201216