Search a number
-
+
197281474092 = 223253122984131
BaseRepresentation
bin1011011110111011100…
…1000110011000101100
3200212012212220021000200
42313232321012120230
511213013024132332
6230344014353500
720152550601333
oct2675671063054
9625185807020
10197281474092
117673728147a
12322991bb890
13157b004a271
149797028d1a
1551e998017c
hex2deee4662c

197281474092 has 72 divisors (see below), whose sum is σ = 508512317040. Its totient is φ = 64466463360.

The previous prime is 197281474087. The next prime is 197281474097. The reversal of 197281474092 is 290474182791.

197281474092 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 81 + 474 + 0 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (197281474087) and next prime (197281474097).

It is not an unprimeable number, because it can be changed into a prime (197281474097) 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, 2302867 + ... + 2386997.

It is an arithmetic number, because the mean of its divisors is an integer number (7062671070).

Almost surely, 2197281474092 is an apocalyptic number.

197281474092 is a gapful number since it is divisible by the number (12) 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 197281474092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254256158520).

197281474092 is an abundant number, since it is smaller than the sum of its proper divisors (311230842948).

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

197281474092 is a wasteful number, since it uses less digits than its factorization.

197281474092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85423 (or 85418 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 197281474092 in words is "one hundred ninety-seven billion, two hundred eighty-one million, four hundred seventy-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1229 1908 2458 3687 4916 7374 11061 14748 22122 44244 65137 84131 130274 168262 195411 252393 260548 336524 390822 504786 586233 757179 781644 1009572 1172466 1514358 2344932 3028716 4458943 8917886 13376829 17835772 26753658 40130487 53507316 80260974 103396999 160521948 206793998 310190997 413587996 620381994 930572991 1240763988 1861145982 3722291964 5480040947 10960081894 16440122841 21920163788 32880245682 49320368523 65760491364 98640737046 197281474092