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15114225152 = 29132398729
BaseRepresentation
bin11100001001110000…
…01100011000000000
31110000100002012010202
432010320030120000
5221423220201102
610535434144332
71043354536235
oct160470143000
943010065122
1015114225152
11645664a074
122b198820a8
13156b4005c0
14a3547978c
155d6d78e02
hex384e0c600

15114225152 has 80 divisors (see below), whose sum is σ = 33936265440. Its totient is φ = 6672433152.

The previous prime is 15114225149. The next prime is 15114225157. The reversal of 15114225152 is 25152241151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15114225157) 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 7 ways as a sum of consecutive naturals, for example, 103724 + ... + 202452.

It is an arithmetic number, because the mean of its divisors is an integer number (424203318).

Almost surely, 215114225152 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 15114225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968132720).

15114225152 is an abundant number, since it is smaller than the sum of its proper divisors (18822040288).

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

15114225152 is an equidigital number, since it uses as much as digits as its factorization.

15114225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98783 (or 98767 counting only the distinct ones).

The product of its digits is 4000, while the sum is 29.

The spelling of 15114225152 in words is "fifteen billion, one hundred fourteen million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 6656 9568 11776 19136 38272 76544 98729 153088 197458 394916 789832 1283477 1579664 2270767 2566954 3159328 4541534 5133908 6318656 9083068 10267816 12637312 18166136 20535632 25274624 29519971 36332272 41071264 50549248 59039942 72664544 82142528 118079884 145329088 164285056 236159768 290658176 328570112 472319536 581316352 657140224 944639072 1162632704 1889278144 3778556288 7557112576 15114225152