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82025708128 = 25713231224703
BaseRepresentation
bin100110001100100011…
…1001111101001100000
321211201111211201010221
41030121013033221200
52320442040130003
6101403155332424
75632450005130
oct1143107175140
9254644751127
1082025708128
1131872412631
1213a922b1114
137972a10790
143d81c06ac0
15220125d7bd
hex13191cfa60

82025708128 has 96 divisors (see below), whose sum is σ = 207396274176. Its totient is φ = 31038847488.

The previous prime is 82025708123. The next prime is 82025708131. The reversal of 82025708128 is 82180752028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82025708123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545376 + ... + 679327.

It is an arithmetic number, because the mean of its divisors is an integer number (2160377856).

Almost surely, 282025708128 is an apocalyptic number.

It is an amenable number.

82025708128 is an abundant number, since it is smaller than the sum of its proper divisors (125370566048).

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

82025708128 is a wasteful number, since it uses less digits than its factorization.

82025708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224756 (or 1224748 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 82025708128 in words is "eighty-two billion, twenty-five million, seven hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 4186 4784 5152 8372 9568 16744 33488 66976 1224703 2449406 4898812 8572921 9797624 15921139 17145842 19595248 28168169 31842278 34291684 39190496 56336338 63684556 68583368 111447973 112672676 127369112 137166736 197177183 222895946 225345352 254738224 274333472 366186197 394354366 445791892 450690704 509476448 732372394 788708732 891583784 901381408 1464744788 1577417464 1783167568 2563303379 2929489576 3154834928 3566335136 5126606758 5858979152 6309669856 10253213516 11717958304 20506427032 41012854064 82025708128