Search a number
-
+
38720451141078 = 23717294314639371
BaseRepresentation
bin10001100110111010011101…
…01111000101110111010110
312002002122020211000011112220
420303131032233011313112
520033343440443003303
6214203532451323210
711104313606150130
oct1063351657056726
9162078224004486
1038720451141078
1111379284257973
1244143488b0506
13187b427484145
1497c1190d0050
1547231b479053
hex23374ebc5dd6

38720451141078 has 256 divisors, whose sum is σ = 97386554327040. Its totient is φ = 10007124019200.

The previous prime is 38720451141059. The next prime is 38720451141091. The reversal of 38720451141078 is 87014115402783.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38720451141078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4131939733 + ... + 4131949103.

It is an arithmetic number, because the mean of its divisors is an integer number (380416227840).

Almost surely, 238720451141078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38720451141078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48693277163520).

38720451141078 is an abundant number, since it is smaller than the sum of its proper divisors (58666103185962).

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

38720451141078 is a wasteful number, since it uses less digits than its factorization.

38720451141078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323.

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 38720451141078 in words is "thirty-eight trillion, seven hundred twenty billion, four hundred fifty-one million, one hundred forty-one thousand, seventy-eight".