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821608093476 = 223437213612
BaseRepresentation
bin10111111010010111010…
…10001001011100100100
32220112201021120121210000
423331023222021130210
5101430123132442401
61425235212501300
7113234133365052
oct13751352113444
92815637517700
10821608093476
11297495393195
12113296a7a830
135c628861bc1
142baa204b1d2
151658a30a186
hexbf4ba89724

821608093476 has 135 divisors (see below), whose sum is σ = 2209087787907. Its totient is φ = 266271701760.

The previous prime is 821608093469. The next prime is 821608093477. The reversal of 821608093476 is 674390806128.

The square root of 821608093476 is 906426.

It is a perfect power (a square), and thus also a powerful number.

821608093476 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 0 + 80 + 93 + 476 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7325648100 + 814282445376 = 85590^2 + 902376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (821608093477) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 603679036 + ... + 603680396.

Almost surely, 2821608093476 is an apocalyptic number.

821608093476 is the 906426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821608093476

821608093476 is an abundant number, since it is smaller than the sum of its proper divisors (1387479694431).

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

821608093476 is an equidigital number, since it uses as much as digits as its factorization.

821608093476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 821608093476 in words is "eight hundred twenty-one billion, six hundred eight million, ninety-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1361 1369 1998 2722 2738 2997 3996 4083 4107 5444 5476 5994 8166 8214 11988 12249 12321 16332 16428 24498 24642 36747 36963 48996 49284 50357 73494 73926 100714 110241 110889 146988 147852 151071 201428 220482 221778 302142 440964 443556 453213 604284 906426 1359639 1812852 1852321 1863209 2719278 3704642 3726418 4078917 5438556 5556963 5589627 7409284 7452836 8157834 11113926 11179254 16315668 16670889 16768881 22227852 22358508 33341778 33537762 50012667 50306643 66683556 67075524 68535877 100025334 100613286 137071754 150038001 150919929 200050668 201226572 205607631 274143508 300076002 301839858 411215262 600152004 603679716 616822893 822430524 1233645786 1850468679 2467291572 2535827449 3700937358 5071654898 5551406037 7401874716 7607482347 10143309796 11102812074 15214964694 22205624148 22822447041 30429929388 45644894082 68467341123 91289788164 136934682246 205402023369 273869364492 410804046738 821608093476