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82000070768 = 2472119508357
BaseRepresentation
bin100110001011110010…
…1011100100001110000
321211122201121012022002
41030113211130201300
52320414004231033
6101400442033132
75632016046500
oct1142745344160
9254581535262
1082000070768
11318599a1930
1213a857a87a8
13796a605445
143d7c651a00
1521edd973e8
hex131795c870

82000070768 has 60 divisors (see below), whose sum is σ = 201615223032. Its totient is φ = 31948076160.

The previous prime is 82000070767. The next prime is 82000070837. The reversal of 82000070768 is 86707000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000070767) 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 11 ways as a sum of consecutive naturals, for example, 4745555 + ... + 4762802.

Almost surely, 282000070768 is an apocalyptic number.

82000070768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82000070768 is an abundant number, since it is smaller than the sum of its proper divisors (119615152264).

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

82000070768 is a wasteful number, since it uses less digits than its factorization.

82000070768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508390 (or 9508377 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 82000070768 in words is "eighty-two billion, seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 9508357 19016714 38033428 66558499 76066856 104591927 133116998 152133712 209183854 266233996 418367708 465909493 532467992 732143489 836735416 931818986 1064935984 1464286978 1673470832 1863637972 2928573956 3727275944 5125004423 5857147912 7454551888 10250008846 11714295824 20500017692 41000035384 82000070768