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45268564284 = 22384142071
BaseRepresentation
bin101010001010001101…
…110111100100111100
311022211211210100000000
4222022031313210330
51220202223024114
632443542234300
73161540306346
oct521215674474
9138754710000
1045268564284
111821aa193a9
128934425990
134365753618
1422961bc296
15129e2dce09
hexa8a37793c

45268564284 has 108 divisors (see below), whose sum is σ = 121724982288. Its totient is φ = 14721134400.

The previous prime is 45268564283. The next prime is 45268564303. The reversal of 45268564284 is 48246586254.

45268564284 is a `hidden beast` number, since 4 + 52 + 6 + 8 + 564 + 28 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45268564284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45268564283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1054969 + ... + 1097039.

Almost surely, 245268564284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268564284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60862491144).

45268564284 is an abundant number, since it is smaller than the sum of its proper divisors (76456418004).

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

45268564284 is an equidigital number, since it uses as much as digits as its factorization.

45268564284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42140 (or 42117 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 45268564284 in words is "forty-five billion, two hundred sixty-eight million, five hundred sixty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2187 2214 2916 3321 4374 4428 6561 6642 8748 9963 13122 13284 19926 26244 29889 39852 42071 59778 84142 89667 119556 126213 168284 179334 252426 269001 358668 378639 504852 538002 757278 1076004 1135917 1514556 1724911 2271834 3407751 3449822 4543668 5174733 6815502 6899644 10223253 10349466 13631004 15524199 20446506 20698932 30669759 31048398 40893012 46572597 61339518 62096796 92009277 93145194 122679036 139717791 184018554 186290388 276027831 279435582 368037108 419153373 552055662 558871164 838306746 1104111324 1257460119 1676613492 2514920238 3772380357 5029840476 7544760714 11317141071 15089521428 22634282142 45268564284