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45505322040 = 23351991905583
BaseRepresentation
bin101010011000010101…
…000001110000111000
311100110100021212120210
4222120111001300320
51221143330301130
632523240551120
73200443566243
oct523025016070
9140410255523
1045505322040
1118331627a72
12899b7824a0
1343a280a779
1422b980c25a
1512b4ea85b0
hexa98541c38

45505322040 has 64 divisors (see below), whose sum is σ = 137202048000. Its totient is φ = 12073767552.

The previous prime is 45505321997. The next prime is 45505322047. The reversal of 45505322040 is 4022350554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45505321989 and 45505322007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45505322047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928912 + ... + 976671.

It is an arithmetic number, because the mean of its divisors is an integer number (2143782000).

Almost surely, 245505322040 is an apocalyptic number.

45505322040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45505322040 is an abundant number, since it is smaller than the sum of its proper divisors (91696725960).

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

45505322040 is a wasteful number, since it uses less digits than its factorization.

45505322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905796 (or 1905792 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 45505322040 its reverse (4022350554), we get a palindrome (49527672594).

The spelling of 45505322040 in words is "forty-five billion, five hundred five million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 1905583 3811166 5716749 7622332 9527915 11433498 15244664 19055830 22866996 28583745 38111660 45733992 57167490 76223320 114334980 228669960 379211017 758422034 1137633051 1516844068 1896055085 2275266102 3033688136 3792110170 4550532204 5688165255 7584220340 9101064408 11376330510 15168440680 22752661020 45505322040