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820628802440 = 23579259692659
BaseRepresentation
bin10111111000100010100…
…10011100101110001000
32220110012000212111000122
423330101102130232020
5101421121433134230
61424554111122412
7113200642505126
oct13742122345610
92813160774018
10820628802440
11297032624357
12113062b13408
135c5009c5a55
142ba0bd70916
151652e369be5
hexbf1149cb88

820628802440 has 32 divisors (see below), whose sum is σ = 1869787152000. Its totient is φ = 324096437184.

The previous prime is 820628802439. The next prime is 820628802479. The reversal of 820628802440 is 44208826028.

It is a junction number, because it is equal to n+sod(n) for n = 820628802391 and 820628802400.

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 7 ways as a sum of consecutive naturals, for example, 129843170 + ... + 129849489.

It is an arithmetic number, because the mean of its divisors is an integer number (58430848500).

Almost surely, 2820628802440 is an apocalyptic number.

It is an amenable number.

820628802440 is an abundant number, since it is smaller than the sum of its proper divisors (1049158349560).

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

820628802440 is a wasteful number, since it uses less digits than its factorization.

820628802440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259692749 (or 259692745 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 820628802440 in words is "eight hundred twenty billion, six hundred twenty-eight million, eight hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 259692659 519385318 1038770636 1298463295 2077541272 2596926590 5193853180 10387706360 20515720061 41031440122 82062880244 102578600305 164125760488 205157200610 410314401220 820628802440