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13345326720 = 273551129269
BaseRepresentation
bin11000110110111000…
…11000011010000000
31021110001120211200000
430123130120122000
5204312400423340
610044124400000
7651465256035
oct143334303200
937401524600
1013345326720
1157290a8540
1227053a6000
131348aaca3b
1490857b38c
15531915d30
hex31b718680

13345326720 has 768 divisors, whose sum is σ = 54132624000. Its totient is φ = 3112058880.

The previous prime is 13345326719. The next prime is 13345326721. The reversal of 13345326720 is 2762354331.

13345326720 is a `hidden beast` number, since 13 + 34 + 532 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13345326719) and next prime (13345326721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345326721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49610746 + ... + 49611014.

Almost surely, 213345326720 is an apocalyptic number.

13345326720 is a gapful number since it is divisible by the number (10) 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 13345326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066312000).

13345326720 is an abundant number, since it is smaller than the sum of its proper divisors (40787297280).

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

13345326720 is a wasteful number, since it uses less digits than its factorization.

13345326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13345326720 in words is "thirteen billion, three hundred forty-five million, three hundred twenty-six thousand, seven hundred twenty".