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76430890140 = 223511235034973
BaseRepresentation
bin100011100101110100…
…0101101010010011100
321022021121012111200220
41013023220231102130
52223012301441030
655040055121340
75344012563333
oct1071350552234
9238247174626
1076430890140
112a461277010
1212990673250
13729087bba7
1439b0b4ad1a
151ec4eaea10
hex11cba2d49c

76430890140 has 96 divisors (see below), whose sum is σ = 243612182016. Its totient is φ = 17723101440.

The previous prime is 76430890103. The next prime is 76430890147. The reversal of 76430890140 is 4109803467.

It is a junction number, because it is equal to n+sod(n) for n = 76430890092 and 76430890101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76430890147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502307 + ... + 2532666.

It is an arithmetic number, because the mean of its divisors is an integer number (2537626896).

Almost surely, 276430890140 is an apocalyptic number.

It is an amenable number.

76430890140 is an abundant number, since it is smaller than the sum of its proper divisors (167181291876).

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

76430890140 is a wasteful number, since it uses less digits than its factorization.

76430890140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035019 (or 5035017 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 76430890140 in words is "seventy-six billion, four hundred thirty million, eight hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 5034973 10069946 15104919 20139892 25174865 30209838 50349730 55384703 60419676 75524595 100699460 110769406 115804379 151049190 166154109 221538812 231608758 276923515 302098380 332308218 347413137 463217516 553847030 579021895 664616436 694826274 830770545 1107694060 1158043790 1273848169 1389652548 1661541090 1737065685 2316087580 2547696338 3323082180 3474131370 3821544507 5095392676 6369240845 6948262740 7643089014 12738481690 15286178028 19107722535 25476963380 38215445070 76430890140