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2656060901304 = 2331994123892591
BaseRepresentation
bin100110101001101001100…
…100010000011110111000
3100101220202110011202122020
4212221221210100132320
5322004103042320204
65352102202554440
7362615444104026
oct46515144203670
910356673152566
102656060901304
1193447a154278
1236a919508a20
13163608831615
14927a83a7716
1549154857bd9
hex26a699107b8

2656060901304 has 128 divisors (see below), whose sum is σ = 7002692352000. Its totient is φ = 837190771200.

The previous prime is 2656060901297. The next prime is 2656060901309. The reversal of 2656060901304 is 4031090606562.

It is a super-2 number, since 2×26560609013042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656060901309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1025109049 + ... + 1025111639.

It is an arithmetic number, because the mean of its divisors is an integer number (54708534000).

Almost surely, 22656060901304 is an apocalyptic number.

2656060901304 is a gapful number since it is divisible by the number (24) 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 2656060901304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501346176000).

2656060901304 is an abundant number, since it is smaller than the sum of its proper divisors (4346631450696).

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

2656060901304 is a wasteful number, since it uses less digits than its factorization.

2656060901304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 2656060901304 in words is "two trillion, six hundred fifty-six billion, sixty million, nine hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 941 1882 2389 2591 2823 3764 4778 5182 5646 7167 7528 7773 9556 10364 11292 14334 15546 17879 19112 20728 22584 28668 31092 35758 45391 49229 53637 57336 62184 71516 90782 98458 107274 136173 143032 147687 181564 196916 214548 272346 295374 363128 393832 429096 544692 590748 1089384 1181496 2248049 2438131 4496098 4876262 6189899 6744147 7314393 8992196 9752524 12379798 13488294 14628786 17984392 18569697 19505048 24759596 26976588 29257572 37139394 42712931 46324489 49519192 53953176 58515144 74278788 85425862 92648978 117608081 128138793 138973467 148557576 170851724 185297956 235216162 256277586 277946934 341703448 352824243 370595912 470432324 512555172 555893868 705648486 940864648 1025110344 1111787736 1411296972 2822593944 5824694959 11649389918 17474084877 23298779836 34948169754 46597559672 69896339508 110669204221 139792679016 221338408442 332007612663 442676816884 664015225326 885353633768 1328030450652 2656060901304