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82897223232 = 2632296592861
BaseRepresentation
bin100110100110100001…
…1110011111001000000
321220222020202021010010
41031031003303321000
52324233142120412
6102025451104520
75663161525365
oct1151503637100
9256866667103
1082897223232
113217a35984a
1214096142140
137a814429a5
14402586a46c
152252a1033c
hex134d0f3e40

82897223232 has 112 divisors (see below), whose sum is σ = 220701412800. Its totient is φ = 27460392960.

The previous prime is 82897223197. The next prime is 82897223237. The reversal of 82897223232 is 23232279828.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82897223237) 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, 28973482 + ... + 28976342.

Almost surely, 282897223232 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 82897223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110350706400).

82897223232 is an abundant number, since it is smaller than the sum of its proper divisors (137804189568).

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

82897223232 is a wasteful number, since it uses less digits than its factorization.

82897223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3754 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 82897223232 in words is "eighty-two billion, eight hundred ninety-seven million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 229 458 659 687 916 1318 1374 1832 1977 2636 2748 2861 3664 3954 5272 5496 5722 7328 7908 8583 10544 10992 11444 14656 15816 17166 21088 21984 22888 31632 34332 42176 43968 45776 63264 68664 91552 126528 137328 150911 183104 274656 301822 452733 549312 603644 655169 905466 1207288 1310338 1810932 1885399 1965507 2414576 2620676 3621864 3770798 3931014 4829152 5241352 5656197 7243728 7541596 7862028 9658304 10482704 11312394 14487456 15083192 15724056 20965408 22624788 28974912 30166384 31448112 41930816 45249576 60332768 62896224 90499152 120665536 125792448 180998304 361996608 431756371 863512742 1295269113 1727025484 2590538226 3454050968 5181076452 6908101936 10362152904 13816203872 20724305808 27632407744 41448611616 82897223232