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13070950144 = 28722733209
BaseRepresentation
bin11000010110001011…
…01101111100000000
31020201221022001202121
430023011231330000
5203232130401034
610001003454024
7641624146240
oct141305557400
936657261677
1013070950144
1155a823533a
122649527314
131303cb3b35
148bdd57b20
155177b91b4
hex30b16df00

13070950144 has 72 divisors (see below), whose sum is σ = 29840519520. Its totient is φ = 5597626368.

The previous prime is 13070950133. The next prime is 13070950169. The reversal of 13070950144 is 44105907031.

It is a congruent number.

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, 4071612 + ... + 4074820.

It is an arithmetic number, because the mean of its divisors is an integer number (414451660).

Almost surely, 213070950144 is an apocalyptic number.

13070950144 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 13070950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920259760).

13070950144 is an abundant number, since it is smaller than the sum of its proper divisors (16769569376).

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

13070950144 is an equidigital number, since it uses as much as digits as its factorization.

13070950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 13070950144 in words is "thirteen billion, seventy million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2273 3209 4546 6418 9092 12836 15911 18184 22463 25672 31822 36368 44926 51344 63644 72736 89852 102688 127288 145472 179704 205376 254576 290944 359408 410752 509152 581888 718816 821504 1018304 1437632 2036608 2875264 4073216 5750528 7294057 14588114 29176228 51058399 58352456 102116798 116704912 204233596 233409824 408467192 466819648 816934384 933639296 1633868768 1867278592 3267737536 6535475072 13070950144