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4130137735650 = 2325210938397149
BaseRepresentation
bin111100000110011111011…
…001001000000111100010
3112121211121101210122100100
4330012133121020013202
51020132010230020100
612441205321203230
7604251443340123
oct74063731100742
915554541718310
104130137735650
111352644096613
12568546930516
1323c616396a44
14103c84c2004a
157267ae79400
hex3c19f6481e2

4130137735650 has 72 divisors (see below), whose sum is σ = 11106456858900. Its totient is φ = 1100362273920.

The previous prime is 4130137735613. The next prime is 4130137735651. The reversal of 4130137735650 is 565377310314.

4130137735650 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 13 + 7 + 73 + 565 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2887352006841 + 1242785728809 = 1699221^2 + 1114803^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4130137735596 and 4130137735605.

It is not an unprimeable number, because it can be changed into a prime (4130137735651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3706725 + ... + 4690424.

Almost surely, 24130137735650 is an apocalyptic number.

4130137735650 is an abundant number, since it is smaller than the sum of its proper divisors (6976319123250).

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

4130137735650 is a wasteful number, since it uses less digits than its factorization.

4130137735650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398260 (or 8398252 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 4130137735650 in words is "four trillion, one hundred thirty billion, one hundred thirty-seven million, seven hundred thirty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1093 2186 3279 5465 6558 9837 10930 16395 19674 27325 32790 49185 54650 81975 98370 163950 245925 491850 8397149 16794298 25191447 41985745 50382894 75574341 83971490 125957235 151148682 209928725 251914470 377871705 419857450 629786175 755743410 1259572350 1889358525 3778717050 9178083857 18356167714 27534251571 45890419285 55068503142 82602754713 91780838570 137671257855 165205509426 229452096425 275342515710 413013773565 458904192850 688356289275 826027547130 1376712578550 2065068867825 4130137735650