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76125713180 = 2251113719712821
BaseRepresentation
bin100011011100101110…
…0100011001100011100
321021111022221220121112
41012321130203030130
52221401140310210
654545514121152
75333315612516
oct1067134431434
9237438856545
1076125713180
112a314a87050
12129064201b8
13724258a8ca
1439823cabb6
151ea82cbd05
hex11b972331c

76125713180 has 96 divisors (see below), whose sum is σ = 176575557312. Its totient is φ = 27338393600.

The previous prime is 76125713173. The next prime is 76125713263. The reversal of 76125713180 is 8131752167.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5931170 + ... + 5943990.

It is an arithmetic number, because the mean of its divisors is an integer number (1839328722).

Almost surely, 276125713180 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 76125713180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88287778656).

76125713180 is an abundant number, since it is smaller than the sum of its proper divisors (100449844132).

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

76125713180 is a wasteful number, since it uses less digits than its factorization.

76125713180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13175 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 76125713180 in words is "seventy-six billion, one hundred twenty-five million, seven hundred thirteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 197 220 274 394 548 685 788 985 1370 1507 1970 2167 2740 3014 3940 4334 6028 7535 8668 10835 12821 15070 21670 25642 26989 30140 43340 51284 53978 64105 107956 128210 134945 141031 256420 269890 282062 296879 539780 564124 593758 705155 1187516 1410310 1484395 1756477 2525737 2820620 2968790 3512954 5051474 5937580 7025908 8782385 10102948 12628685 17564770 19321247 25257370 27783107 35129540 38642494 50514740 55566214 77284988 96606235 111132428 138915535 193212470 277831070 346025969 386424940 555662140 692051938 1384103876 1730129845 3460259690 3806285659 6920519380 7612571318 15225142636 19031428295 38062856590 76125713180