Search a number
-
+
2656546555300 = 22521189107253601
BaseRepresentation
bin100110101010000110100…
…000111000010110100100
3100101222000022000112200021
4212222012200320112210
5322011101404232200
65352222312124524
7362633462100631
oct46520640702644
910358008015607
102656546555300
119346a9302310
1236aa34096744
13163685332951
1492812aa7188
15491822da41a
hex26a868385a4

2656546555300 has 144 divisors (see below), whose sum is σ = 6418889789760. Its totient is φ = 946232320000.

The previous prime is 2656546555297. The next prime is 2656546555321. The reversal of 2656546555300 is 35556456562.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10348500 + ... + 10602100.

It is an arithmetic number, because the mean of its divisors is an integer number (44575623540).

Almost surely, 22656546555300 is an apocalyptic number.

2656546555300 is a gapful number since it is divisible by the number (20) 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 2656546555300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209444894880).

2656546555300 is an abundant number, since it is smaller than the sum of its proper divisors (3762343234460).

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

2656546555300 is a wasteful number, since it uses less digits than its factorization.

2656546555300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253822 (or 253815 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 52.

The spelling of 2656546555300 in words is "two trillion, six hundred fifty-six billion, five hundred forty-six million, five hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 107 110 178 214 220 275 356 428 445 535 550 890 979 1070 1100 1177 1780 1958 2140 2225 2354 2675 3916 4450 4708 4895 5350 5885 8900 9523 9790 10700 11770 19046 19580 23540 24475 29425 38092 47615 48950 58850 95230 97900 104753 117700 190460 209506 238075 253601 419012 476150 507202 523765 952300 1014404 1047530 1268005 2095060 2536010 2618825 2789611 5072020 5237650 5579222 6340025 10475300 11158444 12680050 13948055 22570489 25360100 27135307 27896110 45140978 54270614 55792220 69740275 90281956 108541228 112852445 135676535 139480550 225704890 248275379 271353070 278961100 298488377 451409780 496550758 542706140 564262225 596976754 678382675 993101516 1128524450 1193953508 1241376895 1356765350 1492441885 2257048900 2415042323 2482753790 2713530700 2984883770 4830084646 4965507580 5969767540 6206884475 7462209425 9660169292 12075211615 12413768950 14924418850 24150423230 24827537900 26565465553 29848837700 48300846460 53130931106 60376058075 106261862212 120752116150 132827327765 241504232300 265654655530 531309311060 664136638825 1328273277650 2656546555300