Search a number
-
+
15100156160 = 285172923929
BaseRepresentation
bin11100001000000101…
…00001100100000000
31102222100121102002222
432010002201210000
5221411114444120
610534212430212
71043124131615
oct160402414400
942870542088
1015100156160
11644970a901
122b15018368
13156851595b
14a3365650c
155d59ea525
hex3840a1900

15100156160 has 144 divisors (see below), whose sum is σ = 39619465200. Its totient is φ = 5488508928.

The previous prime is 15100156111. The next prime is 15100156241. The reversal of 15100156160 is 6165100151.

It can be written as a sum of positive squares in 8 ways, for example, as 519110656 + 14581045504 = 22784^2 + 120752^2 .

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, 619076 + ... + 643004.

It is an arithmetic number, because the mean of its divisors is an integer number (275135175).

Almost surely, 215100156160 is an apocalyptic number.

15100156160 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 15100156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809732600).

15100156160 is an abundant number, since it is smaller than the sum of its proper divisors (24519309040).

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

15100156160 is a wasteful number, since it uses less digits than its factorization.

15100156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 15100156160 in words is "fifteen billion, one hundred million, one hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 256 272 290 320 340 464 493 544 580 640 680 928 986 1088 1160 1280 1360 1856 1972 2176 2320 2465 2720 3712 3944 4352 4640 4930 5440 7424 7888 9280 9860 10880 15776 18560 19720 21760 23929 31552 37120 39440 47858 63104 78880 95716 119645 126208 157760 191432 239290 315520 382864 406793 478580 631040 693941 765728 813586 957160 1387882 1531456 1627172 1914320 2033965 2775764 3062912 3254344 3469705 3828640 4067930 5551528 6125824 6508688 6939410 7657280 8135860 11103056 11796997 13017376 13878820 15314560 16271720 22206112 23593994 26034752 27757640 30629120 32543440 44412224 47187988 52069504 55515280 58984985 65086880 88824448 94375976 104139008 111030560 117969970 130173760 177648896 188751952 222061120 235939940 260347520 377503904 444122240 471879880 520695040 755007808 888244480 943759760 1510015616 1887519520 3020031232 3775039040 7550078080 15100156160