Search a number
-
+
38248676235 = 32571111038579
BaseRepresentation
bin100011100111110011…
…000111101110001011
310122201121122001221100
4203213303013232023
51111313130114420
625323213512443
72522560245420
oct434763075613
9118647561840
1038248676235
1115248420630
1274b54a2723
1337b72a6203
141bcbb65d47
15edcd96190
hex8e7cc7b8b

38248676235 has 48 divisors (see below), whose sum is σ = 82656887040. Its totient is φ = 15895552320.

The previous prime is 38248676209. The next prime is 38248676251. The reversal of 38248676235 is 53267684283.

38248676235 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 8 + 6 + 7 + 623 + 5 = 666.

It is not a de Polignac number, because 38248676235 - 212 = 38248672139 is a prime.

It is a super-2 number, since 2×382486762352 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5515825 + ... + 5522754.

It is an arithmetic number, because the mean of its divisors is an integer number (1722018480).

Almost surely, 238248676235 is an apocalyptic number.

38248676235 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38248676235 is an abundant number, since it is smaller than the sum of its proper divisors (44408210805).

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

38248676235 is a wasteful number, since it uses less digits than its factorization.

38248676235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038608 (or 11038605 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 38248676235 in words is "thirty-eight billion, two hundred forty-eight million, six hundred seventy-six thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 11038579 33115737 55192895 77270053 99347211 121424369 165578685 231810159 364273107 386350265 496736055 607121845 695430477 849970583 1092819321 1159050795 1821365535 2549911749 3477152385 4249852915 5464096605 7649735247 12749558745 38248676235