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16055766240 = 2535145323021
BaseRepresentation
bin11101111001111111…
…11000110011100000
31112102221202102200220
432330333320303200
5230340234004430
611213110443040
71105606522053
oct167477706340
945387672626
1016055766240
11689a0748a8
123141063480
13168b4b00c7
14ac452aa9a
1563e85e110
hex3bcff8ce0

16055766240 has 96 divisors (see below), whose sum is σ = 50612669856. Its totient is φ = 4278405120.

The previous prime is 16055766203. The next prime is 16055766253. The reversal of 16055766240 is 4266755061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16055766192 and 16055766201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685930 + ... + 708950.

It is an arithmetic number, because the mean of its divisors is an integer number (527215311).

Almost surely, 216055766240 is an apocalyptic number.

16055766240 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 16055766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306334928).

16055766240 is an abundant number, since it is smaller than the sum of its proper divisors (34556903616).

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

16055766240 is a wasteful number, since it uses less digits than its factorization.

16055766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24492 (or 24484 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 16055766240 in words is "sixteen billion, fifty-five million, seven hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1453 2906 4359 5812 7265 8718 11624 14530 17436 21795 23021 23248 29060 34872 43590 46042 46496 58120 69063 69744 87180 92084 115105 116240 138126 139488 174360 184168 230210 232480 276252 345315 348720 368336 460420 552504 690630 697440 736672 920840 1105008 1381260 1841680 2210016 2762520 3683360 5525040 11050080 33449513 66899026 100348539 133798052 167247565 200697078 267596104 334495130 401394156 501742695 535192208 668990260 802788312 1003485390 1070384416 1337980520 1605576624 2006970780 2675961040 3211153248 4013941560 5351922080 8027883120 16055766240