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1330701720768 = 2632719149116579
BaseRepresentation
bin10011010111010100000…
…000001101110011000000
311201012202220001110112100
4103113110000031303000
5133300234120031033
62455152124030400
7165066012666360
oct23272400156300
94635686043470
101330701720768
11473390480442
12195a95392400
139863b981c14
1448598c989a0
1524934461513
hex135d400dcc0

1330701720768 has 336 divisors, whose sum is σ = 4619365920000. Its totient is φ = 357769488384.

The previous prime is 1330701720737. The next prime is 1330701720779. The reversal of 1330701720768 is 8670271070331.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11356303 + ... + 11472881.

Almost surely, 21330701720768 is an apocalyptic number.

1330701720768 is a gapful number since it is divisible by the number (18) 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 1330701720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309682960000).

1330701720768 is an abundant number, since it is smaller than the sum of its proper divisors (3288664199232).

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

1330701720768 is a wasteful number, since it uses less digits than its factorization.

1330701720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116772 (or 116759 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 1330701720768 in words is "one trillion, three hundred thirty billion, seven hundred one million, seven hundred twenty thousand, seven hundred sixty-eight".