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51366041430 = 23511376416563
BaseRepresentation
bin101111110101101001…
…111001011101010110
311220120210021021011220
4233311221321131112
51320144201311210
635333000311210
73465620101554
oct576551713526
9156523237156
1051366041430
111a869878210
129b56472506
134ac7a8b772
1426b3d22bd4
15150977cc70
hexbf5a79756

51366041430 has 128 divisors (see below), whose sum is σ = 138356937216. Its totient is φ = 12095078400.

The previous prime is 51366041407. The next prime is 51366041527. The reversal of 51366041430 is 3414066315.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51366041391 and 51366041400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7823329 + ... + 7829891.

It is an arithmetic number, because the mean of its divisors is an integer number (1080913572).

Almost surely, 251366041430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51366041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69178468608).

51366041430 is an abundant number, since it is smaller than the sum of its proper divisors (86990895786).

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

51366041430 is a wasteful number, since it uses less digits than its factorization.

51366041430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 51366041430 in words is "fifty-one billion, three hundred sixty-six million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 641 814 1110 1221 1282 1923 2035 2442 3205 3846 4070 6105 6410 6563 7051 9615 12210 13126 14102 19230 19689 21153 23717 32815 35255 39378 42306 47434 65630 70510 71151 72193 98445 105765 118585 142302 144386 196890 211530 216579 237170 242831 260887 355755 360965 433158 485662 521774 711510 721930 728493 782661 1082895 1214155 1304435 1456986 1565322 2165790 2428310 2608870 2671141 3642465 3913305 4206883 5342282 7284930 7826610 8013423 8413766 12620649 13355705 16026846 21034415 25241298 26711410 40067115 42068830 46275713 63103245 80134230 92551426 126206490 138827139 155654671 231378565 277654278 311309342 462757130 466964013 694135695 778273355 933928026 1388271390 1556546710 1712201381 2334820065 3424402762 4669640130 5136604143 8561006905 10273208286 17122013810 25683020715 51366041430