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76233264540 = 22352943812221
BaseRepresentation
bin100011011111111011…
…0110100110110011100
321021202211100002100020
41012333312310312130
52222111203431130
655004315232140
75336063025366
oct1067766646634
9237684302306
1076233264540
112a36a765a74
1212936448650
13725b946574
1439927c5d36
151eb2973e10
hex11bfdb4d9c

76233264540 has 48 divisors (see below), whose sum is σ = 220813598880. Its totient is φ = 19627874560.

The previous prime is 76233264533. The next prime is 76233264551. The reversal of 76233264540 is 4546233267.

It is a junction number, because it is equal to n+sod(n) for n = 76233264492 and 76233264501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21904371 + ... + 21907850.

It is an arithmetic number, because the mean of its divisors is an integer number (4600283310).

Almost surely, 276233264540 is an apocalyptic number.

It is an amenable number.

76233264540 is an abundant number, since it is smaller than the sum of its proper divisors (144580334340).

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

76233264540 is a wasteful number, since it uses less digits than its factorization.

76233264540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43812262 (or 43812260 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 76233264540 in words is "seventy-six billion, two hundred thirty-three million, two hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 43812221 87624442 131436663 175248884 219061105 262873326 438122210 525746652 657183315 876244420 1270554409 1314366630 2541108818 2628733260 3811663227 5082217636 6352772045 7623326454 12705544090 15246652908 19058316135 25411088180 38116632270 76233264540