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2642191816 = 2311217307523
BaseRepresentation
bin1001110101111100…
…1010010111001000
320211010202020210011
42131133022113020
520402400114231
61114103201304
7122322155065
oct23537122710
96733666704
102642191816
1111364a2900
12618a46234
13331526314
141b0ca5c6c
15106e669b1
hex9d7ca5c8

2642191816 has 96 divisors (see below), whose sum is σ = 5795586720. Its totient is φ = 1124513280.

The previous prime is 2642191801. The next prime is 2642191829. The reversal of 2642191816 is 6181912462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5051731 + ... + 5052253.

It is an arithmetic number, because the mean of its divisors is an integer number (60370695).

Almost surely, 22642191816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642191816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897793360).

2642191816 is an abundant number, since it is smaller than the sum of its proper divisors (3153394904).

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

2642191816 is a wasteful number, since it uses less digits than its factorization.

2642191816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 2642191816 is about 51402.2549699913. The cubic root of 2642191816 is about 1382.4670244482.

The spelling of 2642191816 in words is "two billion, six hundred forty-two million, one hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 307 374 484 523 614 748 968 1046 1228 1496 2057 2092 2456 3377 4114 4184 5219 5753 6754 8228 8891 10438 11506 13508 16456 17782 20876 23012 27016 35564 37147 41752 46024 57409 63283 71128 74294 97801 114818 126566 148588 160561 195602 229636 253132 297176 321122 391204 459272 506264 631499 642244 782408 1075811 1262998 1284488 1766171 2151622 2525996 2729537 3532342 4303244 5051992 5459074 7064684 8606488 10918148 14129368 19427881 21836296 30024907 38855762 60049814 77711524 120099628 155423048 240199256 330273977 660547954 1321095908 2642191816