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45271438688 = 2572229126079
BaseRepresentation
bin101010001010011000…
…110101010101100000
311022212001012100221102
4222022120311111200
51220203442014223
632444124013532
73161603610500
oct521230652540
9138761170842
1045271438688
1118221601a43
1289353912a8
13436621ba58
142296729a00
15129e6a9928
hexa8a635560

45271438688 has 72 divisors (see below), whose sum is σ = 104133254400. Its totient is φ = 19317166848.

The previous prime is 45271438669. The next prime is 45271438759. The reversal of 45271438688 is 88683417254.

It is a super-2 number, since 2×452714386882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296033 + ... + 422111.

It is an arithmetic number, because the mean of its divisors is an integer number (1446295200).

Almost surely, 245271438688 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 45271438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52066627200).

45271438688 is an abundant number, since it is smaller than the sum of its proper divisors (58861815712).

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

45271438688 is a wasteful number, since it uses less digits than its factorization.

45271438688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126332 (or 126317 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 56.

The spelling of 45271438688 in words is "forty-five billion, two hundred seventy-one million, four hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 392 458 784 916 1568 1603 1832 3206 3664 6412 7328 11221 12824 22442 25648 44884 51296 89768 126079 179536 252158 359072 504316 882553 1008632 1765106 2017264 3530212 4034528 6177871 7060424 12355742 14120848 24711484 28241696 28872091 49422968 57744182 98845936 115488364 197691872 202104637 230976728 404209274 461953456 808418548 923906912 1414732459 1616837096 2829464918 3233674192 5658929836 6467348384 11317859672 22635719344 45271438688