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15041378688 = 27373114199
BaseRepresentation
bin11100000001000100…
…10011100110000000
31102211021000012120120
432000202103212000
5221301043104223
610524312540240
71041511416000
oct160042234600
942737005516
1015041378688
116419514486
122ab93b1680
1315592a629b
14a29916000
155d0789be3
hex380893980

15041378688 has 128 divisors (see below), whose sum is σ = 46593600000. Its totient is φ = 4297499136.

The previous prime is 15041378687. The next prime is 15041378707. The reversal of 15041378688 is 88687314051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 15041378688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15041378687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74613 + ... + 188811.

It is an arithmetic number, because the mean of its divisors is an integer number (364012500).

Almost surely, 215041378688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15041378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296800000).

15041378688 is an abundant number, since it is smaller than the sum of its proper divisors (31552221312).

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

15041378688 is an equidigital number, since it uses as much as digits as its factorization.

15041378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114237 (or 114211 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 15041378688 in words is "fifteen billion, forty-one million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 3136 4116 4704 5488 6272 8232 9408 10976 16464 18816 21952 32928 43904 65856 114199 131712 228398 342597 456796 685194 799393 913592 1370388 1598786 1827184 2398179 2740776 3197572 3654368 4796358 5481552 5595751 6395144 7308736 9592716 10963104 11191502 12790288 14617472 16787253 19185432 21926208 22383004 25580576 33574506 38370864 39170257 43852416 44766008 51161152 67149012 76741728 78340514 89532016 102322304 117510771 134298024 153483456 156681028 179064032 235021542 268596048 306966912 313362056 358128064 470043084 537192096 626724112 716256128 940086168 1074384192 1253448224 1880172336 2148768384 2506896448 3760344672 5013792896 7520689344 15041378688