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82734381696 = 273659326941
BaseRepresentation
bin100110100001101011…
…0100111101010000000
321220112220100001112010
41031003112213222000
52323420000203241
6102001352532520
75656143432621
oct1150326475200
9256486301463
1082734381696
11320a644656a
121404b6b1140
137a56798a55
14400bd9ba48
152243595d16
hex13435a7a80

82734381696 has 64 divisors (see below), whose sum is σ = 220097354400. Its totient is φ = 27536194560.

The previous prime is 82734381689. The next prime is 82734381703. The reversal of 82734381696 is 69618343728.

It is an interprime number because it is at equal distance from previous prime (82734381689) and next prime (82734381703).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89586 + ... + 416526.

Almost surely, 282734381696 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 82734381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110048677200).

82734381696 is an abundant number, since it is smaller than the sum of its proper divisors (137362972704).

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

82734381696 is a wasteful number, since it uses less digits than its factorization.

82734381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327617 (or 327605 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 82734381696 in words is "eighty-two billion, seven hundred thirty-four million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 659 1318 1977 2636 3954 5272 7908 10544 15816 21088 31632 42176 63264 84352 126528 253056 326941 653882 980823 1307764 1961646 2615528 3923292 5231056 7846584 10462112 15693168 20924224 31386336 41848448 62772672 125545344 215454119 430908238 646362357 861816476 1292724714 1723632952 2585449428 3447265904 5170898856 6894531808 10341797712 13789063616 20683595424 27578127232 41367190848 82734381696