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45383756760 = 2333542021997
BaseRepresentation
bin101010010001000101…
…010010101111011000
311100010212112201101000
4222101011102233120
51220421220204020
632503215225000
73164436365436
oct522105225730
9140125481330
1045383756760
1118279a471a1
128966b18160
134383586254
1422a7605d56
1512a9494090
hexa91152bd8

45383756760 has 64 divisors (see below), whose sum is σ = 151279192800. Its totient is φ = 12102334848.

The previous prime is 45383756753. The next prime is 45383756773. The reversal of 45383756760 is 6765738354.

45383756760 is a `hidden beast` number, since 4 + 538 + 37 + 5 + 6 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45383756697 and 45383756706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21009919 + ... + 21012078.

Almost surely, 245383756760 is an apocalyptic number.

45383756760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45383756760 is an abundant number, since it is smaller than the sum of its proper divisors (105895436040).

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

45383756760 is a wasteful number, since it uses less digits than its factorization.

45383756760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42022017 (or 42022007 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 45383756760 in words is "forty-five billion, three hundred eighty-three million, seven hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 42021997 84043994 126065991 168087988 210109985 252131982 336175976 378197973 420219970 504263964 630329955 756395946 840439940 1008527928 1134593919 1260659910 1512791892 1680879880 1890989865 2269187838 2521319820 3025583784 3781979730 4538375676 5042639640 5672969595 7563959460 9076751352 11345939190 15127918920 22691878380 45383756760