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45005760760 = 2352779340483
BaseRepresentation
bin101001111010100011…
…010110100011111000
311022011112021112100011
4221322203112203320
51214132433321020
632401513351304
73152166440332
oct517243264370
9138145245304
1045005760760
11180a5640204
128880408534
13432317a28c
14226d32c452
1512861ca35a
hexa7a8d68f8

45005760760 has 32 divisors (see below), whose sum is σ = 101269106640. Its totient is φ = 18001211904.

The previous prime is 45005760697. The next prime is 45005760817. The reversal of 45005760760 is 6706750054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1091479 + ... + 1131961.

Almost surely, 245005760760 is an apocalyptic number.

45005760760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45005760760 is an abundant number, since it is smaller than the sum of its proper divisors (56263345880).

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

45005760760 is a wasteful number, since it uses less digits than its factorization.

45005760760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68287 (or 68283 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 45005760760 in words is "forty-five billion, five million, seven hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 27793 40483 55586 80966 111172 138965 161932 202415 222344 277930 323864 404830 555860 809660 1111720 1619320 1125144019 2250288038 4500576076 5625720095 9001152152 11251440190 22502880380 45005760760