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284135850372 = 223114152501081
BaseRepresentation
bin1000010001001111101…
…00010000000110000100
31000011101220201201121210
410020213310100012010
514123402234202442
6334310305211420
726346102610263
oct4104764200604
91004356651553
10284135850372
11aa557309940
1247098630b70
1320a4225c01a
14da762545da
1575ceaa019c
hex4227d10184

284135850372 has 48 divisors (see below), whose sum is σ = 740895269184. Its totient is φ = 84001728000.

The previous prime is 284135850337. The next prime is 284135850391. The reversal of 284135850372 is 273058531482.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26245129 + ... + 26255952.

It is an arithmetic number, because the mean of its divisors is an integer number (15435318108).

Almost surely, 2284135850372 is an apocalyptic number.

284135850372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

284135850372 is an abundant number, since it is smaller than the sum of its proper divisors (456759418812).

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

284135850372 is a wasteful number, since it uses less digits than its factorization.

284135850372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52501140 (or 52501138 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

It can be divided in two parts, 28413 and 5850372, that added together give a palindrome (5878785).

The spelling of 284135850372 in words is "two hundred eighty-four billion, one hundred thirty-five million, eight hundred fifty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 52501081 105002162 157503243 210004324 315006486 577511891 630012972 1155023782 1732535673 2152544321 2310047564 3465071346 4305088642 6457632963 6930142692 8610177284 12915265926 23677987531 25830531852 47355975062 71033962593 94711950124 142067925186 284135850372