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2416197948384 = 253112288066239
BaseRepresentation
bin100011001010010000100…
…111101101001111100000
322112222121222201020220010
4203022100213231033200
5304041333133322014
65045552551244520
7336364431460263
oct43122047551740
98488558636803
102416197948384
1185178182a590
12330337979740
13146b0097514c
1484d31dd0cda
1542cb696d359
hex232909ed3e0

2416197948384 has 48 divisors (see below), whose sum is σ = 6919112309760. Its totient is φ = 732181196160.

The previous prime is 2416197948347. The next prime is 2416197948401. The reversal of 2416197948384 is 4838497916142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24161979483842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1144032064 + ... + 1144034175.

It is an arithmetic number, because the mean of its divisors is an integer number (144148173120).

Almost surely, 22416197948384 is an apocalyptic number.

2416197948384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2416197948384 is an abundant number, since it is smaller than the sum of its proper divisors (4502914361376).

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

2416197948384 is a wasteful number, since it uses less digits than its factorization.

2416197948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288066263 (or 2288066255 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 2416197948384 in words is "two trillion, four hundred sixteen billion, one hundred ninety-seven million, nine hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2288066239 4576132478 6864198717 9152264956 13728397434 18304529912 25168728629 27456794868 36609059824 50337457258 54913589736 73218119648 75506185887 100674914516 109827179472 151012371774 201349829032 219654358944 302024743548 402699658064 604049487096 805399316128 1208098974192 2416197948384