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13252623104 = 28721995309
BaseRepresentation
bin11000101011110101…
…01111101100000000
31021012121011000012202
430111322233230000
5204120132414404
610031013412332
7646261303100
oct142572575400
937177130182
1013252623104
11569083a986
12269a33a0a8
131332822326
148da129200
1552870321e
hex315eafb00

13252623104 has 108 divisors (see below), whose sum is σ = 30932874000. Its totient is φ = 5650089984.

The previous prime is 13252623103. The next prime is 13252623119. The reversal of 13252623104 is 40132625231.

It is a happy number.

13252623104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13252623103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2493602 + ... + 2498910.

It is an arithmetic number, because the mean of its divisors is an integer number (286415500).

Almost surely, 213252623104 is an apocalyptic number.

13252623104 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 13252623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466437000).

13252623104 is an abundant number, since it is smaller than the sum of its proper divisors (17680250896).

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

13252623104 is an equidigital number, since it uses as much as digits as its factorization.

13252623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13252623104 in words is "thirteen billion, two hundred fifty-two million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 199 224 256 392 398 448 784 796 896 1393 1568 1592 1792 2786 3136 3184 5309 5572 6272 6368 9751 10618 11144 12544 12736 19502 21236 22288 25472 37163 39004 42472 44576 50944 74326 78008 84944 89152 148652 156016 169888 178304 260141 297304 312032 339776 356608 520282 594608 624064 679552 1040564 1056491 1189216 1248128 1359104 2081128 2112982 2378432 2496256 4162256 4225964 4756864 7395437 8324512 8451928 9513728 14790874 16649024 16903856 29581748 33298048 33807712 51768059 59163496 66596096 67615424 103536118 118326992 135230848 207072236 236653984 270461696 414144472 473307968 828288944 946615936 1656577888 1893231872 3313155776 6626311552 13252623104