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13320511512 = 23371122412719
BaseRepresentation
bin11000110011111011…
…01110000000011000
31021101022220002121020
430121331232000120
5204240022332022
610041440442440
7651044323350
oct143175560030
937338802536
1013320511512
115716099500
1226b9019420
131343901999
1490515bb60
1552e66335c
hex319f6e018

13320511512 has 192 divisors, whose sum is σ = 42022041600. Its totient is φ = 3444249600.

The previous prime is 13320511493. The next prime is 13320511573. The reversal of 13320511512 is 21511502331.

It is a super-2 number, since 2×133205115122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4897689 + ... + 4900407.

It is an arithmetic number, because the mean of its divisors is an integer number (218864800).

Almost surely, 213320511512 is an apocalyptic number.

13320511512 is a gapful number since it is divisible by the number (12) 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 13320511512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011020800).

13320511512 is an abundant number, since it is smaller than the sum of its proper divisors (28701530088).

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

13320511512 is a wasteful number, since it uses less digits than its factorization.

13320511512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 13320511512 in words is "thirteen billion, three hundred twenty million, five hundred eleven thousand, five hundred twelve".