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45982371840 = 212357183127
BaseRepresentation
bin101010110100110000…
…110101000000000000
311101200120221111212220
4222310300311000000
51223132441344330
633042441451040
73215325466056
oct526460650000
9141616844786
1045982371840
11185569395a9
128ab34a0a80
13444a5b8662
142322d0c1d6
1512e1cdb710
hexab4c35000

45982371840 has 416 divisors, whose sum is σ = 152184324096. Its totient is φ = 11849564160.

The previous prime is 45982371829. The next prime is 45982371913. The reversal of 45982371840 is 4817328954.

It is a happy number.

It is a super-2 number, since 2×459823718402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362065857 + ... + 362065983.

Almost surely, 245982371840 is an apocalyptic number.

45982371840 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 45982371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76092162048).

45982371840 is an abundant number, since it is smaller than the sum of its proper divisors (106201952256).

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

45982371840 is a wasteful number, since it uses less digits than its factorization.

45982371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 45982371840 in words is "forty-five billion, nine hundred eighty-two million, three hundred seventy-one thousand, eight hundred forty".