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2870674992 = 243419111597
BaseRepresentation
bin1010101100011011…
…0000011000110000
321102001200101210000
42223012300120300
521334343044432
61152504310000
7131065222563
oct25306603060
97361611700
102870674992
11124346a679
12681472300
13369974073
141d33804da
1511c04a57c
hexab1b0630

2870674992 has 100 divisors (see below), whose sum is σ = 8352786816. Its totient is φ = 951799680.

The previous prime is 2870674991. The next prime is 2870675047. The reversal of 2870674992 is 2994760782.

2870674992 is a `hidden beast` number, since 28 + 70 + 67 + 499 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2870674991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 241738 + ... + 253334.

Almost surely, 22870674992 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 2870674992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176393408).

2870674992 is an abundant number, since it is smaller than the sum of its proper divisors (5482111824).

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

2870674992 is a wasteful number, since it uses less digits than its factorization.

2870674992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2870674992 is about 53578.6803868852. The cubic root of 2870674992 is about 1421.2201032412.

The spelling of 2870674992 in words is "two billion, eight hundred seventy million, six hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 324 382 432 573 648 764 1146 1296 1528 1719 2292 3056 3438 4584 5157 6876 9168 10314 11597 13752 15471 20628 23194 27504 30942 34791 41256 46388 61884 69582 82512 92776 104373 123768 139164 185552 208746 247536 278328 313119 417492 556656 626238 834984 939357 1252476 1669968 1878714 2215027 2504952 3757428 4430054 5009904 6645081 7514856 8860108 13290162 15029712 17720216 19935243 26580324 35440432 39870486 53160648 59805729 79740972 106321296 119611458 159481944 179417187 239222916 318963888 358834374 478445832 717668748 956891664 1435337496 2870674992