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1828251869920 = 255713711915093
BaseRepresentation
bin11010100110101100010…
…011011010001011100000
320110210001000102212012021
4122212230103122023200
5214423224434314140
63515515354311224
7246041533325530
oct32465423321340
96423030385167
101828251869920
116453a2577713
122563b1a28514
131035323ab7b8
14646b89a34c0
1532854e72b4a
hex1a9ac4da2e0

1828251869920 has 96 divisors (see below), whose sum is σ = 4972311707328. Its totient is φ = 622253764608.

The previous prime is 1828251869903. The next prime is 1828251869923. The reversal of 1828251869920 is 299681528281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828251869923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5804107 + ... + 6110986.

It is an arithmetic number, because the mean of its divisors is an integer number (51794913618).

Almost surely, 21828251869920 is an apocalyptic number.

1828251869920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828251869920 is an abundant number, since it is smaller than the sum of its proper divisors (3144059837408).

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

1828251869920 is a wasteful number, since it uses less digits than its factorization.

1828251869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915252 (or 11915244 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 61.

The spelling of 1828251869920 in words is "one trillion, eight hundred twenty-eight billion, two hundred fifty-one million, eight hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 137 140 160 224 274 280 548 560 685 959 1096 1120 1370 1918 2192 2740 3836 4384 4795 5480 7672 9590 10960 15344 19180 21920 30688 38360 76720 153440 11915093 23830186 47660372 59575465 83405651 95320744 119150930 166811302 190641488 238301860 333622604 381282976 417028255 476603720 667245208 834056510 953207440 1334490416 1632367741 1668113020 1906414880 2668980832 3264735482 3336226040 6529470964 6672452080 8161838705 11426574187 13058941928 13344904160 16323677410 22853148374 26117883856 32647354820 45706296748 52235767712 57132870935 65294709640 91412593496 114265741870 130589419280 182825186992 228531483740 261178838560 365650373984 457062967480 914125934960 1828251869920