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13325323264 = 210113731973
BaseRepresentation
bin11000110100100000…
…00100110000000000
31021101122221120002021
430122100010300000
5204242240321024
610042131531224
7651133243651
oct143220046000
937348846067
1013325323264
115718885660
1226ba759b14
1313448c7b86
14905a51528
1552ecb3de4
hex31a404c00

13325323264 has 88 divisors (see below), whose sum is σ = 29845554768. Its totient is φ = 5893079040.

The previous prime is 13325323243. The next prime is 13325323279. The reversal of 13325323264 is 46232352331.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×133253232642 (a number of 21 digits) contains 22 as substring.

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, 400782 + ... + 432754.

Almost surely, 213325323264 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 13325323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922777384).

13325323264 is an abundant number, since it is smaller than the sum of its proper divisors (16520231504).

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

13325323264 is a wasteful number, since it uses less digits than its factorization.

13325323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32041 (or 32023 counting only the distinct ones).

The product of its digits is 77760, while the sum is 34.

Adding to 13325323264 its reverse (46232352331), we get a palindrome (59557675595).

The spelling of 13325323264 in words is "thirteen billion, three hundred twenty-five million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1024 1184 1408 1628 2368 2816 3256 4736 5632 6512 9472 11264 13024 18944 26048 31973 37888 52096 63946 104192 127892 208384 255784 351703 416768 511568 703406 1023136 1183001 1406812 2046272 2366002 2813624 4092544 4732004 5627248 8185088 9464008 11254496 13013011 16370176 18928016 22508992 26026022 32740352 37856032 45017984 52052044 75712064 90035968 104104088 151424128 180071936 208208176 302848256 360143872 416416352 605696512 832832704 1211393024 1665665408 3331330816 6662661632 13325323264