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15107269144 = 2311226359341
BaseRepresentation
bin11100001000111011…
…01010001000011000
31102222211222210021211
432010131222020120
5221414430103034
610535025112504
71043241445312
oct160435521030
942884883254
1015107269144
116452728a00
122b17488734
131569b36416
14a345887b2
155d6452d64
hex38476a218

15107269144 has 48 divisors (see below), whose sum is σ = 31254244560. Its totient is φ = 6840715200.

The previous prime is 15107269141. The next prime is 15107269159. The reversal of 15107269144 is 44196270151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15107269097 and 15107269106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15107269141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224914 + ... + 284254.

It is an arithmetic number, because the mean of its divisors is an integer number (651130095).

Almost surely, 215107269144 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 15107269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627122280).

15107269144 is an abundant number, since it is smaller than the sum of its proper divisors (16146975416).

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

15107269144 is a wasteful number, since it uses less digits than its factorization.

15107269144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59632 (or 59617 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 15107269144 in words is "fifteen billion, one hundred seven million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 263 484 526 968 1052 2104 2893 5786 11572 23144 31823 59341 63646 118682 127292 237364 254584 474728 652751 1305502 2611004 5222008 7180261 14360522 15606683 28721044 31213366 57442088 62426732 124853464 171673513 343347026 686694052 1373388104 1888408643 3776817286 7553634572 15107269144