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13322993474952 = 2333759153197549
BaseRepresentation
bin1100000111100000000001…
…0010110001110110001000
31202011122222022201002221000
43001320000102301312020
53221240442312144302
644200255415415000
72543361125006130
oct301700022616610
952148868632830
1013322993474952
11427728253a057
1215b2103684460
137584784001b5
14340b9cc37ac0
151818657b731c
hexc1e004b1d88

13322993474952 has 256 divisors, whose sum is σ = 43040620800000. Its totient is φ = 3739568912640.

The previous prime is 13322993474909. The next prime is 13322993474957. The reversal of 13322993474952 is 25947439922331.

13322993474952 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 29 + 93 + 474 + 9 + 52 = 666.

It is a super-2 number, since 2×133229934749522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13322993474952.

It is not an unprimeable number, because it can be changed into a prime (13322993474957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136528674 + ... + 136626222.

It is an arithmetic number, because the mean of its divisors is an integer number (168127425000).

Almost surely, 213322993474952 is an apocalyptic number.

13322993474952 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 13322993474952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520310400000).

13322993474952 is an abundant number, since it is smaller than the sum of its proper divisors (29717627325048).

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

13322993474952 is a wasteful number, since it uses less digits than its factorization.

13322993474952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99161 (or 99151 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 13322993474952 in words is "thirteen trillion, three hundred twenty-two billion, nine hundred ninety-three million, four hundred seventy-four thousand, nine hundred fifty-two".