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14929606160 = 2457217212213
BaseRepresentation
bin11011110011101111…
…11011011000010000
31102112110200120111022
431321313323120100
5221033434344120
610505241135012
71035653362400
oct157167733020
942473616438
1014929606160
116371412097
122a87a8a468
13153c0a01b1
14a18b3c800
155c5a5c025
hex379dfb610

14929606160 has 120 divisors (see below), whose sum is σ = 40420209816. Its totient is φ = 5113436160.

The previous prime is 14929606157. The next prime is 14929606177. The reversal of 14929606160 is 6160692941.

It can be written as a sum of positive squares in 4 ways, for example, as 7626878224 + 7302727936 = 87332^2 + 85456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6745214 + ... + 6747426.

Almost surely, 214929606160 is an apocalyptic number.

14929606160 is a gapful number since it is divisible by the number (10) 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 14929606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210104908).

14929606160 is an abundant number, since it is smaller than the sum of its proper divisors (25490603656).

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

14929606160 is a wasteful number, since it uses less digits than its factorization.

14929606160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 14929606160 in words is "fourteen billion, nine hundred twenty-nine million, six hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1721 1960 2213 3442 3920 4426 6884 8605 8852 11065 12047 13768 15491 17210 17704 22130 24094 27536 30982 34420 35408 44260 48188 60235 61964 68840 77455 84329 88520 96376 108437 120470 123928 137680 154910 168658 177040 192752 216874 240940 247856 309820 337316 421645 433748 481880 542185 619640 674632 843290 867496 963760 1084370 1239280 1349264 1686580 1734992 2168740 3373160 3808573 4337480 6746320 7617146 8674960 15234292 19042865 26660011 30468584 38085730 53320022 60937168 76171460 106640044 133300055 152342920 186620077 213280088 266600110 304685840 373240154 426560176 533200220 746480308 933100385 1066400440 1492960616 1866200770 2132800880 2985921232 3732401540 7464803080 14929606160