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45744553792 = 267691147769
BaseRepresentation
bin101010100110100101…
…100111111101000000
311101002000110002212001
4222212211213331000
51222141101210132
633003104313344
73206410202020
oct524645477500
9141060402761
1045744553792
1118444676363
128a47912854
13441024ca12
1422dd4c3a80
1512caeb1ce7
hexaa6967f40

45744553792 has 56 divisors (see below), whose sum is σ = 103892949440. Its totient is φ = 19576304640.

The previous prime is 45744553783. The next prime is 45744553793. The reversal of 45744553792 is 29735544754.

45744553792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45744553793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235684 + ... + 383452.

It is an arithmetic number, because the mean of its divisors is an integer number (1855231240).

Almost surely, 245744553792 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 45744553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51946474720).

45744553792 is an abundant number, since it is smaller than the sum of its proper divisors (58148395648).

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

45744553792 is a wasteful number, since it uses less digits than its factorization.

45744553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148479 (or 148469 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 55.

The spelling of 45744553792 in words is "forty-five billion, seven hundred forty-four million, five hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 691 1382 2764 4837 5528 9674 11056 19348 22112 38696 44224 77392 147769 154784 295538 309568 591076 1034383 1182152 2068766 2364304 4137532 4728608 8275064 9457216 16550128 33100256 66200512 102108379 204216758 408433516 714758653 816867032 1429517306 1633734064 2859034612 3267468128 5718069224 6534936256 11436138448 22872276896 45744553792