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146329879073960 = 23519672873721113
BaseRepresentation
bin100001010001011000010100…
…011101100101010010101000
3201012002222222212110100021102
4201101120110131211102220
5123134432043020331320
61235115003551300532
742551661546462461
oct4121302435452250
9635088885410242
10146329879073960
1142697175a1a44a
12144b386451a748
136385b04ba48ca
14281c592589d68
1511db598d22175
hex8516147654a8

146329879073960 has 64 divisors (see below), whose sum is σ = 351743464353600. Its totient is φ = 54623690896896.

The previous prime is 146329879073957. The next prime is 146329879073981. The reversal of 146329879073960 is 69370978923641.

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 15 ways as a sum of consecutive naturals, for example, 1436809637 + ... + 1436911476.

It is an arithmetic number, because the mean of its divisors is an integer number (5495991630525).

Almost surely, 2146329879073960 is an apocalyptic number.

146329879073960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146329879073960 is an abundant number, since it is smaller than the sum of its proper divisors (205413585279640).

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

146329879073960 is a wasteful number, since it uses less digits than its factorization.

146329879073960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873721210 (or 2873721206 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 74.

The spelling of 146329879073960 in words is "one hundred forty-six trillion, three hundred twenty-nine billion, eight hundred seventy-nine million, seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 5092 6365 10184 12730 25460 50920 2873721113 5747442226 11494884452 14368605565 22989768904 28737211130 54600701147 57474422260 109201402294 114948844520 192539314571 218402804588 273003505735 385078629142 436805609176 546007011470 770157258284 962696572855 1092014022940 1540314516568 1925393145710 2184028045880 3658246976849 3850786291420 7316493953698 7701572582840 14632987907396 18291234884245 29265975814792 36582469768490 73164939536980 146329879073960