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82926862928 = 247134313110111
BaseRepresentation
bin100110100111011010…
…0111000001001010000
321221001022112010010122
41031032310320021100
52324313234103203
6102032430245412
75664001463450
oct1151664701120
9257038463118
1082926862928
1132195063568
12140a4056868
137a8761c980
144029783d60
152255417538
hex134ed38250

82926862928 has 160 divisors (see below), whose sum is σ = 203912282112. Its totient is φ = 31795545600.

The previous prime is 82926862901. The next prime is 82926862943.

82926862928 is nontrivially palindromic in base 10.

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, 8196593 + ... + 8206703.

Almost surely, 282926862928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82926862928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101956141056).

82926862928 is an abundant number, since it is smaller than the sum of its proper divisors (120985419184).

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

82926862928 is a wasteful number, since it uses less digits than its factorization.

82926862928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10307 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 62.

The spelling of 82926862928 in words is "eighty-two billion, nine hundred twenty-six million, eight hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 52 56 86 91 104 112 131 172 182 208 262 301 344 364 524 559 602 688 728 917 1048 1118 1204 1456 1703 1834 2096 2236 2408 3406 3668 3913 4472 4816 5633 6812 7336 7826 8944 10111 11266 11921 13624 14672 15652 20222 22532 23842 27248 31304 39431 40444 45064 47684 62608 70777 73229 78862 80888 90128 95368 131443 141554 146458 157724 161776 190736 262886 283108 292916 315448 434773 512603 525772 566216 585832 630896 869546 920101 1025206 1051544 1132432 1171664 1324541 1739092 1840202 2050412 2103088 2649082 3043411 3478184 3680404 4100824 5298164 5652049 6086822 6956368 7360808 8201648 9271787 10596328 11304098 12173644 14721616 17219033 18543574 21192656 22608196 24347288 34438066 37087148 39564343 45216392 48694576 56955263 68876132 74174296 79128686 90432784 113910526 120533231 137752264 148348592 158257372 227821052 241066462 275504528 316514744 398686841 455642104 482132924 633029488 740418419 797373682 911284208 964265848 1480836838 1594747364 1928531696 2961673676 3189494728 5182928933 5923347352 6378989456 10365857866 11846694704 20731715732 41463431464 82926862928