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14274650790 = 23351912772179
BaseRepresentation
bin11010100101101010…
…11110001010100110
31100211211021101122000
431102311132022212
5213213302311130
610320243150130
71013511346461
oct152265361246
940754241560
1014274650790
116065739464
122924675346
1314664a283a
14995b6c2d8
155882d6260
hex352d5e2a6

14274650790 has 128 divisors (see below), whose sum is σ = 40118976000. Its totient is φ = 3601749888.

The previous prime is 14274650783. The next prime is 14274650807. The reversal of 14274650790 is 9705647241.

14274650790 is a `hidden beast` number, since 14 + 2 + 7 + 46 + 507 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6549921 + ... + 6552099.

It is an arithmetic number, because the mean of its divisors is an integer number (313429500).

Almost surely, 214274650790 is an apocalyptic number.

14274650790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14274650790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059488000).

14274650790 is an abundant number, since it is smaller than the sum of its proper divisors (25844325210).

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

14274650790 is a wasteful number, since it uses less digits than its factorization.

14274650790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 14274650790 in words is "fourteen billion, two hundred seventy-four million, six hundred fifty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1277 1710 2179 2554 2565 3831 4358 5130 6385 6537 7662 10895 11493 12770 13074 19155 19611 21790 22986 24263 32685 34479 38310 39222 41401 48526 57465 58833 65370 68958 72789 82802 98055 114930 117666 121315 124203 145578 172395 196110 207005 218367 242630 248406 294165 344790 363945 372609 414010 436734 588330 621015 655101 727890 745218 1091835 1117827 1242030 1310202 1863045 2183670 2235654 2782583 3275505 3726090 5565166 5589135 6551010 8347749 11178270 13912915 16695498 25043247 27825830 41738745 50086494 52869077 75129741 83477490 105738154 125216235 150259482 158607231 250432470 264345385 317214462 375648705 475821693 528690770 751297410 793036155 951643386 1427465079 1586072310 2379108465 2854930158 4758216930 7137325395 14274650790