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1481597781840 = 2434511151137653
BaseRepresentation
bin10101100011110110000…
…111000000011101010000
312020122021002121121010000
4111203312013000131100
5143233303013004330
63052345302210000
7212020242232521
oct25436607003520
95218232547100
101481597781840
11521384360530
121bb188123900
13a9938a78c17
14519d165c848
1528816a40560
hex158f61c0750

1481597781840 has 400 divisors, whose sum is σ = 5650826645376. Its totient is φ = 356793984000.

The previous prime is 1481597781817. The next prime is 1481597781857. The reversal of 1481597781840 is 481877951841.

1481597781840 is a `hidden beast` number, since 1 + 481 + 5 + 9 + 7 + 78 + 1 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10694454 + ... + 10832106.

Almost surely, 21481597781840 is an apocalyptic number.

1481597781840 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 1481597781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825413322688).

1481597781840 is an abundant number, since it is smaller than the sum of its proper divisors (4169228863536).

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

1481597781840 is a wasteful number, since it uses less digits than its factorization.

1481597781840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137840 (or 137825 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 1481597781840 in words is "one trillion, four hundred eighty-one billion, five hundred ninety-seven million, seven hundred eighty-one thousand, eight hundred forty".