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258483704752 = 24721325361431
BaseRepresentation
bin1111000010111011010…
…1000101001110110000
3220201012011200201012101
43300232311011032300
513213333312023002
6314425030510144
724450316144600
oct3605665051660
9821164621171
10258483704752
119a693349199
1242119805354
131b4b48a0030
14c72142cc00
156acca0e587
hex3c2ed453b0

258483704752 has 60 divisors (see below), whose sum is σ = 627391104816. Its totient is φ = 102257285760.

The previous prime is 258483704729. The next prime is 258483704761. The reversal of 258483704752 is 257407384852.

258483704752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 258483704693 and 258483704702.

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 11 ways as a sum of consecutive naturals, for example, 12670524 + ... + 12690907.

Almost surely, 2258483704752 is an apocalyptic number.

It is an amenable number.

258483704752 is an abundant number, since it is smaller than the sum of its proper divisors (368907400064).

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

258483704752 is a wasteful number, since it uses less digits than its factorization.

258483704752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361466 (or 25361453 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 55.

The spelling of 258483704752 in words is "two hundred fifty-eight billion, four hundred eighty-three million, seven hundred four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 25361431 50722862 101445724 177530017 202891448 329698603 355060034 405782896 659397206 710120068 1242710119 1318794412 1420240136 2307890221 2485420238 2637588824 2840480272 4615780442 4970840476 5275177648 9231560884 9941680952 16155231547 18463121768 19883361904 32310463094 36926243536 64620926188 129241852376 258483704752