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16460906255144 = 23131543211025641
BaseRepresentation
bin1110111110001001101001…
…1110000101001100101000
32011021122110212012111210222
43233202122132011030220
54124143414000131034
655002011432425212
73316155413364461
oct357423236051450
964248425174728
1016460906255144
11527703849a81a
121a1a298248208
1392534525a380
1440c9d807bd68
151d82bc88c12e
hexef89a785328

16460906255144 has 32 divisors (see below), whose sum is σ = 33238616192040. Its totient is φ = 7597284710400.

The previous prime is 16460906255141. The next prime is 16460906255159. The reversal of 16460906255144 is 44155260906461.

It is a happy number.

16460906255144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3125336051044 + 13335570204100 = 1767862^2 + 3651790^2 .

It is a super-2 number, since 2×164609062551442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16460906255141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15536564 + ... + 16562204.

Almost surely, 216460906255144 is an apocalyptic number.

It is an amenable number.

16460906255144 is an abundant number, since it is smaller than the sum of its proper divisors (16777709936896).

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

16460906255144 is a wasteful number, since it uses less digits than its factorization.

16460906255144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179981 (or 1179977 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 16460906255144 in words is "sixteen trillion, four hundred sixty billion, nine hundred six million, two hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 154321 308642 617284 1025641 1234568 2006173 2051282 4012346 4102564 8024692 8205128 13333333 16049384 26666666 53333332 106666664 158277944761 316555889522 633111779044 1266223558088 2057613281893 4115226563786 8230453127572 16460906255144