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258044821984 = 25127325119531
BaseRepresentation
bin1111000001010010101…
…0111000000111100000
3220200001120212011020001
43300110222320013200
513211433433300414
6314313312025344
724433406540155
oct3602452700740
9820046764201
10258044821984
119a488636064
1242016832254
131b4449965a1
14c6bd02622c
156aa421a074
hex3c14ab81e0

258044821984 has 48 divisors (see below), whose sum is σ = 512209668096. Its totient is φ = 127960560000.

The previous prime is 258044821981. The next prime is 258044822003. The reversal of 258044821984 is 489128440852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258044821981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13202299 + ... + 13221829.

It is an arithmetic number, because the mean of its divisors is an integer number (10671034752).

Almost surely, 2258044821984 is an apocalyptic number.

It is an amenable number.

258044821984 is a deficient number, since it is larger than the sum of its proper divisors (254164846112).

258044821984 is a wasteful number, since it uses less digits than its factorization.

258044821984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22919 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 258044821984 in words is "two hundred fifty-eight billion, forty-four million, eight hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 127 254 508 1016 2032 3251 4064 6502 13004 19531 26008 39062 52016 78124 104032 156248 312496 412877 624992 825754 1651508 2480437 3303016 4960874 6606032 9921748 13212064 19843496 39686992 63495281 79373984 126990562 253981124 507962248 1015924496 2031848992 8063900687 16127801374 32255602748 64511205496 129022410992 258044821984