Search a number
-
+
1629409341474 = 2321725312103859
BaseRepresentation
bin10111101101100000010…
…111010111000000100010
312202202210100010211011200
4113231200113113000202
5203144012242411344
63244312413022030
7225502165611255
oct27554027270042
95682710124150
101629409341474
11579035104a82
12223959a84916
13ba863b13445
1458c1450109c
152c5b8438069
hex17b605d7022

1629409341474 has 48 divisors (see below), whose sum is σ = 3739535411040. Its totient is φ = 510985031040.

The previous prime is 1629409341463. The next prime is 1629409341487. The reversal of 1629409341474 is 4741439049261.

It is a happy number.

1629409341474 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 40 + 93 + 41 + 474 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1629409341474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277444 + ... + 1826415.

It is an arithmetic number, because the mean of its divisors is an integer number (77906987730).

Almost surely, 21629409341474 is an apocalyptic number.

1629409341474 is an abundant number, since it is smaller than the sum of its proper divisors (2110126069566).

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

1629409341474 is a wasteful number, since it uses less digits than its factorization.

1629409341474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106415 (or 2106412 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1629409341474 in words is "one trillion, six hundred twenty-nine billion, four hundred nine million, three hundred forty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2531 5062 7593 15186 22779 43027 45558 86054 129081 258162 387243 774486 2103859 4207718 6311577 12623154 18934731 35765603 37869462 71531206 107296809 214593618 321890427 643780854 5324867129 10649734258 15974601387 31949202774 47923804161 90522741193 95847608322 181045482386 271568223579 543136447158 814704670737 1629409341474