Search a number
-
+
38218080060 = 223251911111637
BaseRepresentation
bin100011100101111110…
…011001111100111100
310122122111001121212200
4203211332121330330
51111232312030220
625320202031500
72522036214636
oct434576317474
9118574047780
1038218080060
1115232123236
1274a71a8590
1337b0b52a74
141bc7a7da56
15eda350890
hex8e5f99f3c

38218080060 has 72 divisors (see below), whose sum is σ = 116535234816. Its totient is φ = 10138120320.

The previous prime is 38218080059. The next prime is 38218080067. The reversal of 38218080060 is 6008081283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38218079997 and 38218080024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38218080067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521439 + ... + 590198.

It is an arithmetic number, because the mean of its divisors is an integer number (1618544928).

Almost surely, 238218080060 is an apocalyptic number.

38218080060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38218080060 is an abundant number, since it is smaller than the sum of its proper divisors (78317154756).

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

38218080060 is a wasteful number, since it uses less digits than its factorization.

38218080060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111843 (or 1111838 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 38218080060 in words is "thirty-eight billion, two hundred eighteen million, eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 1111637 2223274 3334911 4446548 5558185 6669822 10004733 11116370 13339644 16674555 20009466 22232740 33349110 40018932 50023665 66698220 100047330 200094660 212322667 424645334 636968001 849290668 1061613335 1273936002 1910904003 2123226670 2547872004 3184840005 3821808006 4246453340 6369680010 7643616012 9554520015 12739360020 19109040030 38218080060