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82115215872 = 2931729108439
BaseRepresentation
bin100110001111001110…
…0101100001000000000
321211221202021011200120
41030132130230020000
52321132443401442
6101420114020240
75634614550504
oct1143634541000
9254852234616
1082115215872
1131908998078
1213ab8277680
13798841c641
143d8da66304
15220903e4ec
hex131e72c200

82115215872 has 160 divisors (see below), whose sum is σ = 239617699200. Its totient is φ = 24873074688.

The previous prime is 82115215867. The next prime is 82115215907. The reversal of 82115215872 is 27851251128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703029 + ... + 811467.

It is an arithmetic number, because the mean of its divisors is an integer number (1497610620).

Almost surely, 282115215872 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 82115215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808849600).

82115215872 is an abundant number, since it is smaller than the sum of its proper divisors (157502483328).

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

82115215872 is a wasteful number, since it uses less digits than its factorization.

82115215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108506 (or 108490 counting only the distinct ones).

The product of its digits is 89600, while the sum is 42.

The spelling of 82115215872 in words is "eighty-two billion, one hundred fifteen million, two hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 464 493 512 544 696 768 816 928 986 1088 1392 1479 1536 1632 1856 1972 2176 2784 2958 3264 3712 3944 4352 5568 5916 6528 7424 7888 8704 11136 11832 13056 14848 15776 22272 23664 26112 31552 44544 47328 63104 94656 108439 126208 189312 216878 252416 325317 378624 433756 650634 757248 867512 1301268 1735024 1843463 2602536 3144731 3470048 3686926 5205072 5530389 6289462 6940096 7373852 9434193 10410144 11060778 12578924 13880192 14747704 18868386 20820288 22121556 25157848 27760384 29495408 37736772 41640576 44243112 50315696 53460427 55520768 58990816 75473544 83281152 88486224 100631392 106920854 117981632 150947088 160381281 166562304 176972448 201262784 213841708 235963264 301894176 320762562 353944896 402525568 427683416 471926528 603788352 641525124 707889792 805051136 855366832 943853056 1207576704 1283050248 1415779584 1610102272 1710733664 2415153408 2566100496 2831559168 3421467328 4830306816 5132200992 6842934656 10264401984 13685869312 20528803968 27371738624 41057607936 82115215872