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76064418528 = 2537273221509
BaseRepresentation
bin100011011010111001…
…0101110101011100000
321021100001121211011020
41012311302232223200
52221234442343103
654535444245440
75331642614100
oct1066562565340
9237301554136
1076064418528
112a29342150a
12128a99a0880
137232979597
1439781d3200
151ea2c20753
hex11b5caeae0

76064418528 has 144 divisors (see below), whose sum is σ = 235450953360. Its totient is φ = 21434886144.

The previous prime is 76064418527. The next prime is 76064418533. The reversal of 76064418528 is 82581446067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76064418527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232638 + ... + 454146.

It is an arithmetic number, because the mean of its divisors is an integer number (1635076065).

Almost surely, 276064418528 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 76064418528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117725476680).

76064418528 is an abundant number, since it is smaller than the sum of its proper divisors (159386534832).

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

76064418528 is a wasteful number, since it uses less digits than its factorization.

76064418528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221609 (or 221594 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 76064418528 in words is "seventy-six billion, sixty-four million, four hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 73 84 96 98 112 146 147 168 196 219 224 292 294 336 392 438 511 584 588 672 784 876 1022 1168 1176 1533 1568 1752 2044 2336 2352 3066 3504 3577 4088 4704 6132 7008 7154 8176 10731 12264 14308 16352 21462 24528 28616 42924 49056 57232 85848 114464 171696 221509 343392 443018 664527 886036 1329054 1550563 1772072 2658108 3101126 3544144 4651689 5316216 6202252 7088288 9303378 10632432 10853941 12404504 16170157 18606756 21264864 21707882 24809008 32340314 32561823 37213512 43415764 48510471 49618016 64680628 65123646 74427024 86831528 97020942 113191099 129361256 130247292 148854048 173663056 194041884 226382198 258722512 260494584 339573297 347326112 388083768 452764396 517445024 520989168 679146594 776167536 792337693 905528792 1041978336 1358293188 1552335072 1584675386 1811057584 2377013079 2716586376 3169350772 3622115168 4754026158 5433172752 6338701544 9508052316 10866345504 12677403088 19016104632 25354806176 38032209264 76064418528