Search a number
-
+
287044617972 = 22372901354163
BaseRepresentation
bin1000010110101010011…
…00010100011011110100
31000102220122002102122010
410023111030110123310
514200331410233342
6335511054204220
726511142665300
oct4132514243364
91012818072563
10287044617972
1110080a227002
124776a7b3670
13210b6a7c698
14dc706acd00
15770012229c
hex42d53146f4

287044617972 has 72 divisors (see below), whose sum is σ = 779221936416. Its totient is φ = 82002134592.

The previous prime is 287044617931. The next prime is 287044618031. The reversal of 287044617972 is 279716440782.

It is a super-2 number, since 2×2870446179722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5272563 + ... + 5326725.

Almost surely, 2287044617972 is an apocalyptic number.

It is an amenable number.

287044617972 is an abundant number, since it is smaller than the sum of its proper divisors (492177318444).

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

287044617972 is a wasteful number, since it uses less digits than its factorization.

287044617972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63197 (or 63188 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

It can be divided in two parts, 28704 and 4617972, that added together give a triangular number (4646676 = T3048).

The spelling of 287044617972 in words is "two hundred eighty-seven billion, forty-four million, six hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 9013 18026 27039 36052 54078 54163 63091 108156 108326 126182 162489 189273 216652 252364 324978 378546 379141 441637 649956 757092 758282 883274 1137423 1324911 1516564 1766548 2274846 2649822 2653987 4549692 5299644 5307974 7961961 10615948 15923922 31847844 488171119 976342238 1464513357 1952684476 2929026714 3417197833 5858053428 6834395666 10251593499 13668791332 20503186998 23920384831 41006373996 47840769662 71761154493 95681539324 143522308986 287044617972