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45922775040 = 212345193147
BaseRepresentation
bin101010110001001101…
…011111000000000000
311101112102210200110000
4222301031133000000
51223022212300130
633032512240000
73214003101342
oct526115370000
9141472720400
1045922775040
111852623364a
128a97540000
13443b15008c
142319037292
1512db968260
hexab135f000

45922775040 has 1040 divisors, whose sum is σ = 182681579520. Its totient is φ = 10988421120.

The previous prime is 45922775029. The next prime is 45922775047. The reversal of 45922775040 is 4057722954.

45922775040 is a `hidden beast` number, since 4 + 59 + 22 + 77 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45922775047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 977080297 + ... + 977080343.

Almost surely, 245922775040 is an apocalyptic number.

45922775040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45922775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91340789760).

45922775040 is an abundant number, since it is smaller than the sum of its proper divisors (136758804480).

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

45922775040 is a wasteful number, since it uses less digits than its factorization.

45922775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45922775040 in words is "forty-five billion, nine hundred twenty-two million, seven hundred seventy-five thousand, forty".