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1601434895424 = 2637131722391327
BaseRepresentation
bin10111010011011100111…
…101010100010001000000
312200002120202021201110020
4113103130331110101000
5202214214313123144
63223404455333440
7223462023004440
oct27233475242100
95602522251406
101601434895424
1156818a281681
1221a451381280
13b80262a1aa0
145771d0c4120
152b9cc56d419
hex174dcf54440

1601434895424 has 672 divisors, whose sum is σ = 5567105187840. Its totient is φ = 395550425088.

The previous prime is 1601434895399. The next prime is 1601434895461. The reversal of 1601434895424 is 4245984341061.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16014348954242 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1206807849 + ... + 1206809175.

It is an arithmetic number, because the mean of its divisors is an integer number (8284382720).

Almost surely, 21601434895424 is an apocalyptic number.

1601434895424 is a gapful number since it is divisible by the number (14) 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 1601434895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783552593920).

1601434895424 is an abundant number, since it is smaller than the sum of its proper divisors (3965670292416).

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

1601434895424 is a wasteful number, since it uses less digits than its factorization.

1601434895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 1601434895424 in words is "one trillion, six hundred one billion, four hundred thirty-four million, eight hundred ninety-five thousand, four hundred twenty-four".