Search a number
-
+
38721317344350 = 23521571644217297
BaseRepresentation
bin10001100110111100000100…
…10111011001010001011110
312002002201111011220212001120
420303132002113121101132
520033402224220004400
6214204154433151410
711104344224565114
oct1063360227312136
9162081434825046
1038721317344350
11113796891a6243
12441454a9bb566
13187b534a76664
1497c19c16dab4
1547236c52bca0
hex2337825d945e

38721317344350 has 48 divisors (see below), whose sum is σ = 96640515907248. Its totient is φ = 10259915927040.

The previous prime is 38721317344277. The next prime is 38721317344417. The reversal of 38721317344350 is 5344371312783.

38721317344350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38721317344293 and 38721317344302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822085099 + ... + 822132198.

It is an arithmetic number, because the mean of its divisors is an integer number (2013344081401).

Almost surely, 238721317344350 is an apocalyptic number.

38721317344350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38721317344350 is an abundant number, since it is smaller than the sum of its proper divisors (57919198562898).

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

38721317344350 is a wasteful number, since it uses less digits than its factorization.

38721317344350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644217469 (or 1644217464 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 38721317344350 in words is "thirty-eight trillion, seven hundred twenty-one billion, three hundred seventeen million, three hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1570 2355 3925 4710 7850 11775 23550 1644217297 3288434594 4932651891 8221086485 9865303782 16442172970 24663259455 41105432425 49326518910 82210864850 123316297275 246632594550 258142115629 516284231258 774426346887 1290710578145 1548852693774 2581421156290 3872131734435 6453552890725 7744263468870 12907105781450 19360658672175 38721317344350