Search a number
-
+
4256094910560 = 253519391457267
BaseRepresentation
bin111101111011110011000…
…001100111100001100000
3120001212201120110002112120
4331323303001213201200
51024212440244114220
613015120100424240
7616330666555323
oct75736301474140
916055646402476
104256094910560
1113a0aaa691389
12588a396a8080
1324b46a80447c
14109dd33c87ba
1575a9de08a40
hex3def3067860

4256094910560 has 96 divisors (see below), whose sum is σ = 13407419676672. Its totient is φ = 1134897630720.

The previous prime is 4256094910553. The next prime is 4256094910609. The reversal of 4256094910560 is 650194906524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42560949105602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9079047 + ... + 9536313.

It is an arithmetic number, because the mean of its divisors is an integer number (139660621632).

Almost surely, 24256094910560 is an apocalyptic number.

4256094910560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256094910560 is an abundant number, since it is smaller than the sum of its proper divisors (9151324766112).

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

4256094910560 is a wasteful number, since it uses less digits than its factorization.

4256094910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476676 (or 476668 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 4256094910560 in words is "four trillion, two hundred fifty-six billion, ninety-four million, nine hundred ten thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 19391 38782 58173 77564 96955 116346 155128 193910 232692 290865 310256 387820 457267 465384 581730 620512 775640 914534 930768 1163460 1371801 1551280 1829068 1861536 2286335 2326920 2743602 3102560 3658136 4572670 4653840 5487204 6859005 7316272 9145340 9307680 10974408 13718010 14632544 18290680 21948816 27436020 36581360 43897632 54872040 73162720 109744080 219488160 8866864397 17733728794 26600593191 35467457588 44334321985 53201186382 70934915176 88668643970 106402372764 133002965955 141869830352 177337287940 212804745528 266005931910 283739660704 354674575880 425609491056 532011863820 709349151760 851218982112 1064023727640 1418698303520 2128047455280 4256094910560