Search a number
-
+
38074523045520 = 243513173142949363
BaseRepresentation
bin10001010100000111010100…
…11010111100111010010000
311222210212222222100010020110
420222003222122330322100
514442303110344424040
6212551105554441320
711006536114010643
oct1052035232747220
9158725888303213
1038074523045520
111114a350727405
12432b120893240
131832548562c40
14958b61229a5a
15460614491980
hex22a0ea6bce90

38074523045520 has 320 divisors, whose sum is σ = 127937128999680. Its totient is φ = 9311306489856.

The previous prime is 38074523045441. The next prime is 38074523045521. The reversal of 38074523045520 is 2554032547083.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38074523045520.

It is not an unprimeable number, because it can be changed into a prime (38074523045521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771292359 + ... + 771341721.

It is an arithmetic number, because the mean of its divisors is an integer number (399803528124).

Almost surely, 238074523045520 is an apocalyptic number.

38074523045520 is a gapful number since it is divisible by the number (30) 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 38074523045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63968564499840).

38074523045520 is an abundant number, since it is smaller than the sum of its proper divisors (89862605954160).

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

38074523045520 is a wasteful number, since it uses less digits than its factorization.

38074523045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50994 (or 50988 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 38074523045520 in words is "thirty-eight trillion, seventy-four billion, five hundred twenty-three million, forty-five thousand, five hundred twenty".