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168858902352 = 24372592712113
BaseRepresentation
bin1001110101000011000…
…1100101111101010000
3121010212001211000102110
42131100301211331100
510231310334333402
6205323412145320
715125323662600
oct2352061457520
9533761730373
10168858902352
11656814a2668
1228886608240
1312c0071708a
14825c2bac00
1545d459756c
hex2750c65f50

168858902352 has 120 divisors (see below), whose sum is σ = 507565745856. Its totient is φ = 48233278464.

The previous prime is 168858902351. The next prime is 168858902383. The reversal of 168858902352 is 253209858861.

It is a super-2 number, since 2×1688589023522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168858902292 and 168858902301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168858902351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934248 + ... + 13946360.

Almost surely, 2168858902352 is an apocalyptic number.

168858902352 is a gapful number since it is divisible by the number (12) 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 168858902352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253782872928).

168858902352 is an abundant number, since it is smaller than the sum of its proper divisors (338706843504).

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

168858902352 is a wasteful number, since it uses less digits than its factorization.

168858902352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18065 (or 18052 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 168858902352 in words is "one hundred sixty-eight billion, eight hundred fifty-eight million, nine hundred two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5927 11854 12113 17781 23708 24226 35562 36339 41489 47416 48452 71124 72678 82978 84791 94832 96904 124467 142248 145356 165956 169582 193808 248934 254373 284496 290423 290712 331912 339164 497868 508746 580846 581424 593537 663824 678328 871269 995736 1017492 1161692 1187074 1356656 1742538 1780611 1991472 2034984 2323384 2374148 3485076 3561222 4069968 4646768 4748296 6970152 7122444 9496592 13940304 14244888 28489776 71793751 143587502 215381253 287175004 430762506 502556257 574350008 861525012 1005112514 1148700016 1507668771 1723050024 2010225028 3015337542 3446100048 3517893799 4020450056 6030675084 7035787598 8040900112 10553681397 12061350168 14071575196 21107362794 24122700336 28143150392 42214725588 56286300784 84429451176 168858902352