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76014010220031 = 33131483253157697
BaseRepresentation
bin10001010010001001100100…
…000100111011110111111111
3100222010212110001212020112000
4101102021210010323313333
534430403143104020111
6425400204302113343
722003555015036602
oct2122114404736777
9328125401766460
1076014010220031
11222473a70a7214
12863803627b853
133355123813410
1414ab15222c339
158bc47392ec56
hex45226413bdff

76014010220031 has 64 divisors (see below), whose sum is σ = 121407743869440. Its totient is φ = 46727030338560.

The previous prime is 76014010220023. The next prime is 76014010220089. The reversal of 76014010220031 is 13002201041067.

76014010220031 is a `hidden beast` number, since 7 + 6 + 0 + 1 + 401 + 0 + 220 + 0 + 31 = 666.

It is not a de Polignac number, because 76014010220031 - 23 = 76014010220023 is a prime.

It is a super-2 number, since 2×760140102200312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76014010219977 and 76014010220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76014010220831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317440175 + ... + 1317497871.

It is an arithmetic number, because the mean of its divisors is an integer number (1896995997960).

Almost surely, 276014010220031 is an apocalyptic number.

76014010220031 is a deficient number, since it is larger than the sum of its proper divisors (45393733649409).

76014010220031 is a wasteful number, since it uses less digits than its factorization.

76014010220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61733 (or 61727 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 76014010220031 its reverse (13002201041067), we get a palindrome (89016211261098).

The spelling of 76014010220031 in words is "seventy-six trillion, fourteen billion, ten million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 351 1483 2531 4449 7593 13347 19279 22779 32903 40041 57697 57837 68337 98709 173091 173511 296127 519273 520533 750061 888381 1557819 2250183 3753473 6750549 11260419 20251647 33781257 48795149 85564651 101343771 146031107 146385447 256693953 438093321 439156341 770081859 1112340463 1314279963 1317469023 1898404391 2310245577 3337021389 3942839889 5695213173 10011064167 17085639519 30033192501 51256918557 216564131681 649692395043 1949077185129 2815333711853 5847231555387 8446001135559 25338003406677 76014010220031