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168952616336 = 24737274914831
BaseRepresentation
bin1001110101011001011…
…1000101010110010000
3121011002121011011211202
42131112113011112100
510232003332210321
6205341000530332
715130542354320
oct2352627052620
9534077134752
10168952616336
116571a390339
12288b1a809a8
1312c16c6963a
14826a913280
1545dc90970b
hex27565c5590

168952616336 has 80 divisors (see below), whose sum is σ = 384386112000. Its totient is φ = 70420907520.

The previous prime is 168952616257. The next prime is 168952616351. The reversal of 168952616336 is 633616259861.

It is a happy number.

It is a super-2 number, since 2×1689526163362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11384441 + ... + 11399271.

It is an arithmetic number, because the mean of its divisors is an integer number (4804826400).

Almost surely, 2168952616336 is an apocalyptic number.

168952616336 is a gapful number since it is divisible by the number (16) 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 168952616336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192193056000).

168952616336 is an abundant number, since it is smaller than the sum of its proper divisors (215433495664).

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

168952616336 is a wasteful number, since it uses less digits than its factorization.

168952616336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17626 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The spelling of 168952616336 in words is "one hundred sixty-eight billion, nine hundred fifty-two million, six hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2749 4144 5498 10996 14831 19243 21992 29662 38486 43984 59324 76972 101713 103817 118648 153944 203426 207634 237296 307888 406852 415268 548747 711991 813704 830536 1097494 1423982 1627408 1661072 2194988 2847964 3841229 4389976 5695928 7682458 8779952 11391856 15364916 30729832 40770419 61459664 81540838 163081676 285392933 326163352 570785866 652326704 1141571732 1508505503 2283143464 3017011006 4566286928 6034022012 10559538521 12068044024 21119077042 24136088048 42238154084 84476308168 168952616336