Search a number
-
+
15100132504304 = 2419792155729167
BaseRepresentation
bin1101101110111100011000…
…0010001011001011110000
31222110120002012022122020002
43123233012002023023300
53434400032410114204
652040523300405132
73115643234346041
oct333570602131360
958416065278202
1015100132504304
1148a1a26159071
12183a60b9a67a8
13856c23313823
143a2bc93888c8
151b2bc832491e
hexdbbc608b2f0

15100132504304 has 80 divisors (see below), whose sum is σ = 31188665702400. Its totient is φ = 7061584188672.

The previous prime is 15100132504271. The next prime is 15100132504307. The reversal of 15100132504304 is 40340523100151.

15100132504304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15100132504307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517698329 + ... + 517727495.

It is an arithmetic number, because the mean of its divisors is an integer number (389858321280).

Almost surely, 215100132504304 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 15100132504304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594332851200).

15100132504304 is an abundant number, since it is smaller than the sum of its proper divisors (16088533198096).

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

15100132504304 is a wasteful number, since it uses less digits than its factorization.

15100132504304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50830 (or 50824 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 15100132504304 its reverse (40340523100151), we get a palindrome (55440655604455).

The spelling of 15100132504304 in words is "fifteen trillion, one hundred billion, one hundred thirty-two million, five hundred four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 6004 12008 21557 24016 29167 43114 58334 86228 116668 172456 233336 344912 409583 466672 554173 819166 1108346 1638332 1703003 2216692 2304193 3276664 3406006 4433384 4608386 6553328 6812012 8866768 9216772 13624024 18433544 27248048 32357057 36867088 43779667 64714114 87559334 129428228 175118668 258856456 350237336 517712912 628753019 700474672 1257506038 2515012076 5030024152 10060048304 11946307361 23892614722 47785229444 49671488501 95570458888 99342977002 191140917776 198685954004 397371908008 794743816016 943758281519 1887516563038 3775033126076 7550066252152 15100132504304