Search a number
-
+
3456280540026 = 2323171599145643
BaseRepresentation
bin110010010010111010010…
…111111011001101111010
3110020102021010121022022100
4302102322113323031322
5423111430304240101
611203443211004230
7504464565566136
oct62227227731572
913212233538270
103456280540026
111112889294876
12479a25439676
131c0c06150122
14bd3db9843c6
155ed8c082e86
hex324ba5fb37a

3456280540026 has 96 divisors (see below), whose sum is σ = 7852192358400. Its totient is φ = 1097383341600.

The previous prime is 3456280540021. The next prime is 3456280540049. The reversal of 3456280540026 is 6200450826543.

3456280540026 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 2 + 80 + 540 + 0 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (3456280540021) 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, 23658361 + ... + 23804003.

It is an arithmetic number, because the mean of its divisors is an integer number (81793670400).

Almost surely, 23456280540026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456280540026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926096179200).

3456280540026 is an abundant number, since it is smaller than the sum of its proper divisors (4395911818374).

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

3456280540026 is a wasteful number, since it uses less digits than its factorization.

3456280540026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146352 (or 146349 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3456280540026 in words is "three trillion, four hundred fifty-six billion, two hundred eighty million, five hundred forty thousand, twenty-six".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 599 639 1198 1278 1797 2201 3594 4402 5391 6603 10782 13206 18569 19809 37138 39618 42529 55707 85058 111414 127587 145643 167121 255174 291286 334242 382761 436929 765522 873858 1310787 1318399 2621574 2636798 3955197 4514933 7910394 9029866 10340653 11865591 13544799 20681306 23731182 27089598 31021959 40634397 62043918 81268794 87240157 93065877 174480314 186131754 261720471 320560243 523440942 641120486 785161413 961680729 1570322826 1923361458 2704444867 2885042187 5408889734 5770084374 6194051147 8113334601 12388102294 16226669202 18582153441 24340003803 37164306882 48680007606 55746460323 111492920646 192015585557 384031171114 576046756671 1152093513342 1728140270013 3456280540026