Search a number
-
+
38377838070 = 23551113179617
BaseRepresentation
bin100011101111011111…
…110101010111110110
310200001121200011200000
4203233133311113312
51112044211304240
625344110132130
72526016145505
oct435737652766
9120047604600
1038377838070
111530431a850
1275307b1046
133807c8a330
141c00d8883c
15ee93ab430
hex8ef7f55f6

38377838070 has 384 divisors, whose sum is σ = 122445872640. Its totient is φ = 8526228480.

The previous prime is 38377838069. The next prime is 38377838099. The reversal of 38377838070 is 7083877383.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38377837998 and 38377838016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62200402 + ... + 62201018.

It is an arithmetic number, because the mean of its divisors is an integer number (318869460).

Almost surely, 238377838070 is an apocalyptic number.

38377838070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38377838070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61222936320).

38377838070 is an abundant number, since it is smaller than the sum of its proper divisors (84068034570).

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

38377838070 is a wasteful number, since it uses less digits than its factorization.

38377838070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 38377838070 in words is "thirty-eight billion, three hundred seventy-seven million, eight hundred thirty-eight thousand, seventy".