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1345465551360 = 29357229314197
BaseRepresentation
bin10011100101000011111…
…111110000101000000000
311202121212210210202200210
4103211003333300220000
5134021003140120420
62510033124114120
7166130614326300
oct23450377605000
94677783722623
101345465551360
11479677255927
12198915835940
1399b525bb858
14491999a3600
1524eea6749e0
hex13943ff0a00

1345465551360 has 1920 divisors, whose sum is σ = 5529786071040. Its totient is φ = 277453209600.

The previous prime is 1345465551299. The next prime is 1345465551379. The reversal of 1345465551360 is 631555645431.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13870778832 + ... + 13870778928.

It is an arithmetic number, because the mean of its divisors is an integer number (2880096912).

Almost surely, 21345465551360 is an apocalyptic number.

1345465551360 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 1345465551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764893035520).

1345465551360 is an abundant number, since it is smaller than the sum of its proper divisors (4184320519680).

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

1345465551360 is a wasteful number, since it uses less digits than its factorization.

1345465551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 1345465551360 in words is "one trillion, three hundred forty-five billion, four hundred sixty-five million, five hundred fifty-one thousand, three hundred sixty".