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82069096812 = 223194771107867
BaseRepresentation
bin100110001101110110…
…0110000100101101100
321211211112111002020020
41030123230300211230
52321034142044222
6101411345322140
75633514545553
oct1143354604554
9254745432206
1082069096812
113189495814a
1213aa4936350
13797b9c2861
143d8789cd9a
152204e7e65c
hex131bb3096c

82069096812 has 96 divisors (see below), whose sum is σ = 208763412480. Its totient is φ = 25007653440.

The previous prime is 82069096807. The next prime is 82069096829. The reversal of 82069096812 is 21869096028.

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, 706903 + ... + 814769.

It is an arithmetic number, because the mean of its divisors is an integer number (2174618880).

Almost surely, 282069096812 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 82069096812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104381706240).

82069096812 is an abundant number, since it is smaller than the sum of its proper divisors (126694315668).

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

82069096812 is a wasteful number, since it uses less digits than its factorization.

82069096812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108011 (or 108009 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 82069096812 in words is "eighty-two billion, sixty-nine million, ninety-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 71 76 94 114 141 142 188 213 228 282 284 426 564 852 893 1349 1786 2679 2698 3337 3572 4047 5358 5396 6674 8094 10011 10716 13348 16188 20022 40044 63403 107867 126806 190209 215734 253612 323601 380418 431468 647202 760836 1294404 2049473 4098946 5069749 6148419 7658557 8197892 10139498 12296838 15209247 15317114 20278996 22975671 24593676 30418494 30634228 45951342 60836988 91902684 96325231 145512583 192650462 288975693 291025166 359952179 385300924 436537749 577951386 582050332 719904358 873075498 1079856537 1155902772 1439808716 1746150996 2159713074 4319426148 6839091401 13678182802 20517274203 27356365604 41034548406 82069096812