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16254274014 = 232111921120477
BaseRepresentation
bin11110010001101010…
…01000100111011110
31112221210021200011200
433020311020213132
5231242043232024
611244521300330
71113540022656
oct171065104736
945853250150
1016254274014
116991128710
1231976346a6
1316c0664124
14b02a41366
15651ec12c9
hex3c8d489de

16254274014 has 96 divisors (see below), whose sum is σ = 40634904960. Its totient is φ = 4643956800.

The previous prime is 16254274013. The next prime is 16254274019. The reversal of 16254274014 is 41047245261.

16254274014 is a `hidden beast` number, since 1 + 62 + 542 + 7 + 40 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16254274014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16254274013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783544 + ... + 804020.

It is an arithmetic number, because the mean of its divisors is an integer number (423280260).

Almost surely, 216254274014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16254274014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317452480).

16254274014 is an abundant number, since it is smaller than the sum of its proper divisors (24380630946).

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

16254274014 is a wasteful number, since it uses less digits than its factorization.

16254274014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20726 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 16254274014 in words is "sixteen billion, two hundred fifty-four million, two hundred seventy-four thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 211 342 418 422 627 633 1254 1266 1881 1899 2321 3762 3798 4009 4642 6963 8018 12027 13926 20477 20889 24054 36081 40954 41778 44099 61431 72162 88198 122862 132297 184293 225247 264594 368586 389063 396891 450494 675741 778126 793782 1167189 1351482 2027223 2334378 3501567 4054446 4279693 4320647 7003134 8559386 8641294 12839079 12961941 25678158 25923882 38517237 38885823 47527117 77034474 77771646 82092293 95054234 142581351 164184586 246276879 285162702 427744053 492553758 738830637 855488106 903015223 1477661274 1806030446 2709045669 5418091338 8127137007 16254274014