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13458383345968 = 2411185599412007
BaseRepresentation
bin1100001111011000011000…
…1010001001100100110000
31202122121102212122011121021
43003312012022021210300
53231000232114032333
644342410154305224
72556223166635141
oct303660612114460
952577385564537
1013458383345968
1143197395a3040
1216143a9428214
13768173b39702
1434756408dac8
1518513b8e482d
hexc3d86289930

13458383345968 has 40 divisors (see below), whose sum is σ = 28446350745600. Its totient is φ = 6117399167040.

The previous prime is 13458383345933. The next prime is 13458383345983. The reversal of 13458383345968 is 86954338385431.

It is a super-2 number, since 2×134583833459682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13458383345897 and 13458383345906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32459421 + ... + 32871427.

It is an arithmetic number, because the mean of its divisors is an integer number (711158768640).

Almost surely, 213458383345968 is an apocalyptic number.

It is an amenable number.

13458383345968 is an abundant number, since it is smaller than the sum of its proper divisors (14987967399632).

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

13458383345968 is a wasteful number, since it uses less digits than its factorization.

13458383345968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597625 (or 597619 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 70.

The spelling of 13458383345968 in words is "thirteen trillion, four hundred fifty-eight billion, three hundred eighty-three million, three hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 185599 371198 412007 742396 824014 1484792 1648028 2041589 2969584 3296056 4083178 4532077 6592112 8166356 9064154 16332712 18128308 32665424 36256616 72513232 76468087193 152936174386 305872348772 611744697544 841148959123 1223489395088 1682297918246 3364595836492 6729191672984 13458383345968