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16801794709440 = 26351329103450719
BaseRepresentation
bin1111010001111111100100…
…0000010101011111000000
32012111020100221222020020020
43310133321000111133000
54200240033421200230
655422345443213440
73352614064421526
oct364377100253700
965436327866206
1016801794709440
115398668100a04
121a74373077280
1394b530221920
144212d5780316
151e20bea2d810
hexf47f90157c0

16801794709440 has 448 divisors, whose sum is σ = 60007346380800. Its totient is φ = 3954433867776.

The previous prime is 16801794709423. The next prime is 16801794709457. The reversal of 16801794709440 is 4490749710861.

16801794709440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16801794709423) and next prime (16801794709457).

It is a super-2 number, since 2×168017947094402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 37052401 + ... + 37503119.

It is an arithmetic number, because the mean of its divisors is an integer number (133944969600).

Almost surely, 216801794709440 is an apocalyptic number.

16801794709440 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 16801794709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30003673190400).

16801794709440 is an abundant number, since it is smaller than the sum of its proper divisors (43205551671360).

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

16801794709440 is a wasteful number, since it uses less digits than its factorization.

16801794709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450884 (or 450874 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 16801794709440 in words is "sixteen trillion, eight hundred one billion, seven hundred ninety-four million, seven hundred nine thousand, four hundred forty".