Search a number
-
+
2256335310456 = 2332194099402383
BaseRepresentation
bin100000110101011000000…
…100001000111001111000
321222200222212221211020100
4200311120010020321320
5243431433314413311
64444313544155400
7322005043456503
oct40653004107170
97880885854210
102256335310456
1179a9a75075a7
12305362168b60
13134a05000c76
147b2c883613a
153da5c0b5a56
hex20d58108e78

2256335310456 has 96 divisors (see below), whose sum is σ = 6434120160000. Its totient is φ = 712351340352.

The previous prime is 2256335310431. The next prime is 2256335310473. The reversal of 2256335310456 is 6540135336522.

2256335310456 is a `hidden beast` number, since 2 + 2 + 5 + 63 + 3 + 531 + 0 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5406241 + ... + 5808623.

It is an arithmetic number, because the mean of its divisors is an integer number (67022085000).

Almost surely, 22256335310456 is an apocalyptic number.

It is an amenable number.

2256335310456 is an abundant number, since it is smaller than the sum of its proper divisors (4177784849544).

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

2256335310456 is a wasteful number, since it uses less digits than its factorization.

2256335310456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406513 (or 406506 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 2256335310456 in words is "two trillion, two hundred fifty-six billion, three hundred thirty-five million, three hundred ten thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 4099 8198 12297 16396 24594 32792 36891 49188 73782 77881 98376 147564 155762 233643 295128 311524 402383 467286 623048 700929 804766 934572 1207149 1401858 1609532 1869144 2414298 2803716 3219064 3621447 4828596 5607432 7242894 7645277 9657192 14485788 15290554 22935831 28971576 30581108 45871662 61162216 68807493 91743324 137614986 183486648 275229972 550459944 1649367917 3298735834 4948103751 6597471668 9896207502 13194943336 14844311253 19792415004 29688622506 31337990423 39584830008 59377245012 62675980846 94013971269 118754490024 125351961692 188027942538 250703923384 282041913807 376055885076 564083827614 752111770152 1128167655228 2256335310456