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2256351436533 = 3235910138914107
BaseRepresentation
bin100000110101011001000…
…001101001111011110101
321222201001000022010001110
4200311121001221323311
5243432001431432113
64444315321545233
7322005330522345
oct40653101517365
97881030263043
102256351436533
1179aa05621337
12305367645219
13134a0845901c
147b2caa32d25
153da5d6edbc3
hex20d59069ef5

2256351436533 has 64 divisors (see below), whose sum is σ = 3232605542400. Its totient is φ = 1396742265600.

The previous prime is 2256351436529. The next prime is 2256351436607. The reversal of 2256351436533 is 3356341536522.

It is a happy number.

2256351436533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256351436533 - 22 = 2256351436529 is a prime.

It is a super-2 number, since 2×22563514365332 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256351436133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159938466 + ... + 159952572.

It is an arithmetic number, because the mean of its divisors is an integer number (50509461600).

Almost surely, 22256351436533 is an apocalyptic number.

2256351436533 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2256351436533 is a deficient number, since it is larger than the sum of its proper divisors (976254105867).

2256351436533 is a wasteful number, since it uses less digits than its factorization.

2256351436533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682.

The product of its digits is 5832000, while the sum is 48.

The spelling of 2256351436533 in words is "two trillion, two hundred fifty-six billion, three hundred fifty-one million, four hundred thirty-six thousand, five hundred thirty-three".

Divisors: 1 3 23 59 69 101 177 303 389 1167 1357 2323 4071 5959 6969 8947 14107 17877 22951 26841 39289 42321 68853 117867 137057 324461 411171 527873 832313 903647 973383 1424807 1583619 2318051 2496939 2710941 4274421 5487623 6954153 16462869 19143199 32770561 53315173 57429597 84063613 98311683 126215329 159945519 252190839 323769757 378645987 554249923 971309271 1662749769 1933463099 5800389297 7446704411 12747748229 22340113233 32700745457 38243244687 98102236371 752117145511 2256351436533