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45412381740 = 223511223312283
BaseRepresentation
bin101010010010110010…
…011111010000101100
311100012212102000110110
4222102302133100230
51221001032203430
632510120540020
73165234606255
oct522262372054
9140185360413
1045412381740
1118294118600
128974621610
1343894993cb
1422ab337b2c
1512abc4a7b0
hexa92c9f42c

45412381740 has 432 divisors, whose sum is σ = 151230627072. Its totient is φ = 10154707200.

The previous prime is 45412381727. The next prime is 45412381769. The reversal of 45412381740 is 4718321454.

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 143 ways as a sum of consecutive naturals, for example, 160467639 + ... + 160467921.

It is an arithmetic number, because the mean of its divisors is an integer number (350070896).

Almost surely, 245412381740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45412381740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75615313536).

45412381740 is an abundant number, since it is smaller than the sum of its proper divisors (105818245332).

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

45412381740 is a wasteful number, since it uses less digits than its factorization.

45412381740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 45412381740 in words is "forty-five billion, four hundred twelve million, three hundred eighty-one thousand, seven hundred forty".