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116614623664 = 247111932831733
BaseRepresentation
bin110110010011011000…
…1011111000110110000
3102011000001222200012201
41230212301133012300
53402311320424124
6125323320032544
711265550642360
oct1544661370660
9364001880181
10116614623664
1145501a07840
121a726002754
13acc5a117c6
1459038a49a0
153077b8b144
hex1b26c5f1b0

116614623664 has 160 divisors (see below), whose sum is σ = 284316516864. Its totient is φ = 45013155840.

The previous prime is 116614623623. The next prime is 116614623731. The reversal of 116614623664 is 466326416611.

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 31 ways as a sum of consecutive naturals, for example, 67289742 + ... + 67291474.

Almost surely, 2116614623664 is an apocalyptic number.

116614623664 is a gapful number since it is divisible by the number (14) 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 116614623664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142158258432).

116614623664 is an abundant number, since it is smaller than the sum of its proper divisors (167701893200).

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

116614623664 is a wasteful number, since it uses less digits than its factorization.

116614623664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 116614623664 in words is "one hundred sixteen billion, six hundred fourteen million, six hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 193 283 308 386 566 616 772 1132 1232 1351 1544 1733 1981 2123 2264 2702 3088 3113 3466 3962 4246 4528 5404 6226 6932 7924 8492 10808 12131 12452 13864 14861 15848 16984 19063 21616 21791 24262 24904 27728 29722 31696 33968 38126 43582 48524 49808 54619 59444 76252 87164 97048 109238 118888 133441 152504 174328 194096 218476 237776 266882 305008 334469 348656 382333 436952 490439 533764 600809 668938 764666 873904 980878 1067528 1201618 1337876 1529332 1961756 2135056 2341283 2403236 2675752 3058664 3433073 3679159 3923512 4205663 4682566 4806472 5351504 5394829 6117328 6866146 7358318 7847024 8411326 9365132 9612944 10789658 13732292 14716636 16822652 18730264 21579316 25754113 27464584 29433272 33645304 37460528 37763803 43158632 51508226 54929168 58866544 67290608 75527606 86317264 94654727 103016452 151055212 189309454 206032904 302110424 378618908 412065808 604220848 662583089 757237816 1041201997 1325166178 1514475632 2082403994 2650332356 4164807988 5300664712 7288413979 8329615976 10601329424 14576827958 16659231952 29153655916 58307311832 116614623664