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1350851475456 = 21133743277293
BaseRepresentation
bin10011101010000101000…
…001011011100000000000
311210010210011101001121000
4103222011001123200000
5134113020434203311
62512323403132000
7166411234042020
oct23520501334000
94703704331530
101350851475456
1148099049436a
12199979514000
139a5003a0ba2
144954b003a80
152521340e056
hex13a8505b800

1350851475456 has 768 divisors, whose sum is σ = 4712470963200. Its totient is φ = 374338879488.

The previous prime is 1350851475419. The next prime is 1350851475473. The reversal of 1350851475456 is 6545741580531.

1350851475456 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 8 + 51 + 47 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4610414446 + ... + 4610414738.

It is an arithmetic number, because the mean of its divisors is an integer number (6136029900).

Almost surely, 21350851475456 is an apocalyptic number.

1350851475456 is a gapful number since it is divisible by the number (16) 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 1350851475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356235481600).

1350851475456 is an abundant number, since it is smaller than the sum of its proper divisors (3361619487744).

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

1350851475456 is a wasteful number, since it uses less digits than its factorization.

1350851475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 1350851475456 in words is "one trillion, three hundred fifty billion, eight hundred fifty-one million, four hundred seventy-five thousand, four hundred fifty-six".