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76316042540 = 225163227281367
BaseRepresentation
bin100011100010011001…
…0100110010100101100
321021222121002122102002
41013010302212110230
52222243401330130
655020433351432
75341116441563
oct1070462462454
9237877078362
1076316042540
112a402464341
121295a108578
137272b3a22a
14399d7b2bda
151eb9d75b45
hex11c4ca652c

76316042540 has 96 divisors (see below), whose sum is σ = 162976472064. Its totient is φ = 30015982080.

The previous prime is 76316042527. The next prime is 76316042581. The reversal of 76316042540 is 4524061367.

It is a happy number.

It is a super-3 number, since 3×763160425403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76316042494 and 76316042503.

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, 207945437 + ... + 207945803.

It is an arithmetic number, because the mean of its divisors is an integer number (1697671584).

Almost surely, 276316042540 is an apocalyptic number.

It is an amenable number.

76316042540 is an abundant number, since it is smaller than the sum of its proper divisors (86660429524).

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

76316042540 is a wasteful number, since it uses less digits than its factorization.

76316042540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 76316042540 in words is "seventy-six billion, three hundred sixteen million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 163 227 281 326 367 454 562 652 734 815 908 1124 1135 1405 1468 1630 1835 2270 2810 3260 3670 4540 5620 7340 37001 45803 59821 63787 74002 83309 91606 103127 119642 127574 148004 166618 183212 185005 206254 229015 239284 255148 299105 318935 333236 370010 412508 416545 458030 515635 598210 637870 740020 833090 916060 1031270 1196420 1275740 1666180 2062540 10397281 13579367 16809701 20794562 23409829 27158734 33619402 41589124 46819658 51986405 54317468 67238804 67896835 84048505 93639316 103972810 117049145 135793670 168097010 207945620 234098290 271587340 336194020 468196580 3815802127 7631604254 15263208508 19079010635 38158021270 76316042540