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4256195401359 = 37111272236247
BaseRepresentation
bin111101111011111001000…
…000111101011010001111
3120001212222120112120000000
4331323321000331122033
51024213142010320414
613015134050335343
7616333326663366
oct75737100753217
916055876476000
104256195401359
1113a1051388630
12588a6728a553
1324b48558a495
1410a0028a67dd
1575aa7b58b09
hex3def903d68f

4256195401359 has 128 divisors (see below), whose sum is σ = 7051054940160. Its totient is φ = 2547317172960.

The previous prime is 4256195401357. The next prime is 4256195401363. The reversal of 4256195401359 is 9531045916524.

It is a happy number.

4256195401359 is a `hidden beast` number, since 4 + 2 + 5 + 61 + 9 + 540 + 1 + 35 + 9 = 666.

It is not a de Polignac number, because 4256195401359 - 21 = 4256195401357 is a prime.

It is a super-3 number, since 3×42561954013593 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256195401351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681315174 + ... + 681321420.

It is an arithmetic number, because the mean of its divisors is an integer number (55086366720).

Almost surely, 24256195401359 is an apocalyptic number.

4256195401359 is a deficient number, since it is larger than the sum of its proper divisors (2794859538801).

4256195401359 is a wasteful number, since it uses less digits than its factorization.

4256195401359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 4256195401359 in words is "four trillion, two hundred fifty-six billion, one hundred ninety-five million, four hundred one thousand, three hundred fifty-nine".

Divisors: 1 3 9 11 27 33 81 99 127 223 243 297 381 669 729 891 1143 1397 2007 2187 2453 2673 3429 4191 6021 6247 7359 8019 10287 12573 18063 18741 22077 24057 28321 30861 37719 54189 56223 66231 68717 84963 92583 113157 162567 168669 198693 206151 254889 277749 311531 339471 487701 506007 596079 618453 764667 793369 934593 1018413 1393081 1518021 1788237 1855359 2294001 2380107 2803779 3055239 4179243 4554063 5364711 5566077 6882003 7140321 8411337 8727059 12537729 13662189 15323891 16698231 20646009 21420963 25234011 26181177 37613187 45971673 50094693 61938027 64262889 75702033 78543531 112839561 137915019 150284079 176921287 192788667 227106099 235630593 338518683 413745057 530763861 578366001 681318297 706891779 1015556049 1241235171 1592291583 1735098003 1946134157 2120675337 3046668147 3723705513 4776874749 5838402471 6362026011 11171116539 14330624247 17515207413 19086078033 33513349617 42991872741 52545622239 128975618223 157636866717 386926854669 472910600151 1418731800453 4256195401359