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45354621840 = 243511192339313
BaseRepresentation
bin101010001111010110…
…001001101110010000
311100001211201111202220
4222033112021232100
51220341240344330
632500254541040
73163633632123
oct521726115620
9140054644686
1045354621840
1118264557750
128959207780
13437a524c58
1422a37c03ba
1512a6b3b710
hexa8f589b90

45354621840 has 320 divisors, whose sum is σ = 168477788160. Its totient is φ = 9963233280.

The previous prime is 45354621839. The next prime is 45354621881. The reversal of 45354621840 is 4812645354.

It is a junction number, because it is equal to n+sod(n) for n = 45354621792 and 45354621801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134024 + ... + 1173336.

It is an arithmetic number, because the mean of its divisors is an integer number (526493088).

Almost surely, 245354621840 is an apocalyptic number.

45354621840 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 45354621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84238894080).

45354621840 is an abundant number, since it is smaller than the sum of its proper divisors (123123166320).

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

45354621840 is a wasteful number, since it uses less digits than its factorization.

45354621840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39382 (or 39376 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 45354621840 in words is "forty-five billion, three hundred fifty-four million, six hundred twenty-one thousand, eight hundred forty".