Search a number
-
+
9834663420 = 22325379144161
BaseRepresentation
bin10010010100011000…
…10000110111111100
3221101101122122222100
421022030100313330
5130120133212140
64303514545100
7465466155051
oct111214206774
927341578870
109834663420
11419745820a
121aa5738190
13c0967b98a
14694205028
153c85ee530
hex24a310dfc

9834663420 has 72 divisors (see below), whose sum is σ = 29910731760. Its totient is φ = 2615639040.

The previous prime is 9834663409. The next prime is 9834663427. The reversal of 9834663420 is 243664389.

9834663420 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 6 + 634 + 2 + 0 = 666.

It is a super-3 number, since 3×98346634203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9834663427) 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, 3861 + ... + 140300.

It is an arithmetic number, because the mean of its divisors is an integer number (415426830).

Almost surely, 29834663420 is an apocalyptic number.

9834663420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9834663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955365880).

9834663420 is an abundant number, since it is smaller than the sum of its proper divisors (20076068340).

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

9834663420 is a wasteful number, since it uses less digits than its factorization.

9834663420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144555 (or 144550 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 9834663420 is about 99169.8715336468. The cubic root of 9834663420 is about 2142.4950823339.

The spelling of 9834663420 in words is "nine billion, eight hundred thirty-four million, six hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 22740 34110 68220 144161 288322 432483 576644 720805 864966 1297449 1441610 1729932 2162415 2594898 2883220 4324830 5189796 6487245 8649660 12974490 25948980 54637019 109274038 163911057 218548076 273185095 327822114 491733171 546370190 655644228 819555285 983466342 1092740380 1639110570 1966932684 2458665855 3278221140 4917331710 9834663420