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45326372292 = 223279107148949
BaseRepresentation
bin101010001101101010…
…011000110111000100
311022222212120021200100
4222031222120313010
51220312022403132
632453405244100
73163141543665
oct521552306704
9138885507610
1045326372292
111824a612413
12894b863630
134374713946
14229db4936c
1512a440b37c
hexa8da98dc4

45326372292 has 72 divisors (see below), whose sum is σ = 117110448000. Its totient is φ = 14778024768.

The previous prime is 45326372261. The next prime is 45326372327. The reversal of 45326372292 is 29227362354.

45326372292 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 637 + 2 + 2 + 9 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229834 + ... + 378782.

It is an arithmetic number, because the mean of its divisors is an integer number (1626534000).

Almost surely, 245326372292 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 45326372292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58555224000).

45326372292 is an abundant number, since it is smaller than the sum of its proper divisors (71784075708).

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

45326372292 is a wasteful number, since it uses less digits than its factorization.

45326372292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149145 (or 149140 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 45326372292 in words is "forty-five billion, three hundred twenty-six million, three hundred seventy-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 107 158 214 237 316 321 428 474 642 711 948 963 1284 1422 1926 2844 3852 8453 16906 25359 33812 50718 76077 101436 148949 152154 297898 304308 446847 595796 893694 1340541 1787388 2681082 5362164 11766971 15937543 23533942 31875086 35300913 47067884 47812629 63750172 70601826 95625258 105902739 141203652 143437887 191250516 211805478 286875774 423610956 573751548 1259065897 2518131794 3777197691 5036263588 7554395382 11331593073 15108790764 22663186146 45326372292