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38289622896 = 243272961109197
BaseRepresentation
bin100011101010001111…
…010100011101110000
310122211110200101012100
4203222033110131300
51111404120413041
625331235300400
72523565265430
oct435217243560
9118743611170
1038289622896
1115269548448
12750714a700
1337c29118c5
141bd33842c0
15ee17836b6
hex8ea3d4770

38289622896 has 480 divisors, whose sum is σ = 130606819200. Its totient is φ = 10241925120.

The previous prime is 38289622879. The next prime is 38289622913. The reversal of 38289622896 is 69822698283.

38289622896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38289622879) and next prime (38289622913).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194363470 + ... + 194363666.

It is an arithmetic number, because the mean of its divisors is an integer number (272097540).

Almost surely, 238289622896 is an apocalyptic number.

38289622896 is a gapful number since it is divisible by the number (36) 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 38289622896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65303409600).

38289622896 is an abundant number, since it is smaller than the sum of its proper divisors (92317196304).

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

38289622896 is a wasteful number, since it uses less digits than its factorization.

38289622896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 38289622896 in words is "thirty-eight billion, two hundred eighty-nine million, six hundred twenty-two thousand, eight hundred ninety-six".