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820004823603132 = 2232973137235610009
BaseRepresentation
bin1011101001110010100100000…
…0001110011001011110111100
310222112101200210001110011111020
42322130221000032121132330
51324434424334320300012
612024001003202424140
7334502251645563516
oct27234510016313674
93875350701404436
10820004823603132
112183081024957a2
1277b76518362050
132927217a4c926b
141066c6339b4bb6
1564c0319803a8c
hex2e9ca403997bc

820004823603132 has 96 divisors (see below), whose sum is σ = 2021081514580800. Its totient is φ = 258394438213632.

The previous prime is 820004823603101. The next prime is 820004823603179. The reversal of 820004823603132 is 231306328400028.

820004823603132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114324657 + ... + 121285352.

It is an arithmetic number, because the mean of its divisors is an integer number (21052932443550).

Almost surely, 2820004823603132 is an apocalyptic number.

It is an amenable number.

820004823603132 is an abundant number, since it is smaller than the sum of its proper divisors (1201076690977668).

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

820004823603132 is a wasteful number, since it uses less digits than its factorization.

820004823603132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235610255 (or 235610253 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 820004823603132 in words is "eight hundred twenty trillion, four billion, eight hundred twenty-three million, six hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 137 146 174 219 274 292 348 411 438 548 822 876 1644 2117 3973 4234 6351 7946 8468 10001 11919 12702 15892 20002 23838 25404 30003 40004 47676 60006 120012 290029 580058 870087 1160116 1740174 3480348 235610009 471220018 706830027 942440036 1413660054 2827320108 6832690261 13665380522 17199530657 20498070783 27330761044 32278571233 34399061314 40996141566 51598591971 64557142466 68798122628 81992283132 96835713699 103197183942 129114284932 193671427398 206394367884 387342854796 498786389053 936078565757 997572778106 1496359167159 1872157131514 1995145556212 2356335700009 2808235697271 2992718334318 3744314263028 4712671400018 5616471394542 5985436668636 7069007100027 9425342800036 11232942789084 14138014200054 28276028400108 68333735300261 136667470600522 205001205900783 273334941201044 410002411801566 820004823603132