Search a number
-
+
4256170244352 = 28331347366567
BaseRepresentation
bin111101111011110111100…
…000111111100100000000
3120001212220211012110002000
4331323313200333210000
51024213114040304402
613015131351224000
7616332603105345
oct75736740774400
916055824173060
104256170244352
1113a1039165814
12588a5a978000
1324b4802bc990
14109ddd3d87cc
1575aa5839c1c
hex3def783f900

4256170244352 has 144 divisors (see below), whose sum is σ = 13554417098880. Its totient is φ = 1309590816768.

The previous prime is 4256170244279. The next prime is 4256170244357. The reversal of 4256170244352 is 2534420716524.

4256170244352 is a `hidden beast` number, since 4 + 2 + 5 + 617 + 0 + 24 + 4 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42561702443522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4256170244298 and 4256170244307.

It is not an unprimeable number, because it can be changed into a prime (4256170244357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23593428 + ... + 23773139.

It is an arithmetic number, because the mean of its divisors is an integer number (94127896520).

Almost surely, 24256170244352 is an apocalyptic number.

It is an amenable number.

4256170244352 is an abundant number, since it is smaller than the sum of its proper divisors (9298246854528).

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

4256170244352 is a wasteful number, since it uses less digits than its factorization.

4256170244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47366605 (or 47366585 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 4256170244352 in words is "four trillion, two hundred fifty-six billion, one hundred seventy million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 47366567 94733134 142099701 189466268 284199402 378932536 426299103 568398804 615765371 757865072 852598206 1136797608 1231530742 1278897309 1515730144 1705196412 1847296113 2273595216 2463061484 2557794618 3031460288 3410392824 3694592226 4547190432 4926122968 5115589236 5541888339 6062920576 6820785648 7389184452 9094380864 9852245936 10231178472 11083776678 12125841152 13641571296 14778368904 16625665017 18188761728 19704491872 20462356944 22167553356 27283142592 29556737808 33251330034 36377523456 39408983744 40924713888 44335106712 54566285184 59113475616 66502660068 78817967488 81849427776 88670213424 109132570368 118226951232 133005320136 157635934976 163698855552 177340426848 236453902464 266010640272 327397711104 354680853696 472907804928 532021280544 709361707392 1064042561088 1418723414784 2128085122176 4256170244352