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15070338304 = 28779106453
BaseRepresentation
bin11100000100100001…
…10001110100000000
31102220021111111200221
432002100301310000
5221331001311204
610531225352424
71042312522240
oct160220616400
942807444627
1015070338304
1164338a424a
122b07038714
1315622a5858
14a2d6d3b20
155d30aa654
hex382431d00

15070338304 has 72 divisors (see below), whose sum is σ = 34814716160. Its totient is φ = 6376900608.

The previous prime is 15070338301. The next prime is 15070338403. The reversal of 15070338304 is 40383307051.

It is a self number, because there is not a number n which added to its sum of digits gives 15070338304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15070338301) 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, 88342 + ... + 194794.

Almost surely, 215070338304 is an apocalyptic number.

15070338304 is a gapful number since it is divisible by the number (14) 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 15070338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407358080).

15070338304 is an abundant number, since it is smaller than the sum of its proper divisors (19744377856).

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

15070338304 is an equidigital number, since it uses as much as digits as its factorization.

15070338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106555 (or 106541 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 15070338304 in words is "fifteen billion, seventy million, three hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 553 632 896 1106 1264 1792 2212 2528 4424 5056 8848 10112 17696 20224 35392 70784 106453 141568 212906 425812 745171 851624 1490342 1703248 2980684 3406496 5961368 6812992 8409787 11922736 13625984 16819574 23845472 27251968 33639148 47690944 58868509 67278296 95381888 117737018 134556592 190763776 235474036 269113184 470948072 538226368 941896144 1076452736 1883792288 2152905472 3767584576 7535169152 15070338304