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15040100032 = 26893737079
BaseRepresentation
bin11100000000111010…
…11011011011000000
31102211011121020120221
432000131123123000
5221300231200112
610524225312424
71041464512066
oct160035333300
942734536527
1015040100032
116418820841
122ab8a95714
131558c49299
14a296a2036
155d05d5e07
hex38075b6c0

15040100032 has 56 divisors (see below), whose sum is σ = 30265725600. Its totient is φ = 7414573056.

The previous prime is 15040100029. The next prime is 15040100057. The reversal of 15040100032 is 23000104051.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 15040099979 and 15040100015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2121069 + ... + 2128147.

Almost surely, 215040100032 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 15040100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132862800).

15040100032 is an abundant number, since it is smaller than the sum of its proper divisors (15225625568).

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

15040100032 is an equidigital number, since it uses as much as digits as its factorization.

15040100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7543 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 15040100032 its reverse (23000104051), we get a palindrome (38040204083).

The spelling of 15040100032 in words is "fifteen billion, forty million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 373 712 746 1424 1492 2848 2984 5696 5968 7079 11936 14158 23872 28316 33197 56632 66394 113264 132788 226528 265576 453056 531152 630031 1062304 1260062 2124608 2520124 2640467 5040248 5280934 10080496 10561868 20160992 21123736 40321984 42247472 84494944 168989888 235001563 470003126 940006252 1880012504 3760025008 7520050016 15040100032