Search a number
-
+
51044634630 = 232511122941953
BaseRepresentation
bin101111100010011111…
…110101000000000110
311212202101111002221100
4233202133311000012
51314014411302010
635241035400530
73454635143523
oct574237650006
9155671432840
1051044634630
111a714402560
129a868b3146
134a76307122
14268337a14a
1514db4412c0
hexbe27f5006

51044634630 has 96 divisors (see below), whose sum is σ = 144902403360. Its totient is φ = 12364093440.

The previous prime is 51044634617. The next prime is 51044634653. The reversal of 51044634630 is 3643644015.

51044634630 is a `hidden beast` number, since 5 + 10 + 4 + 4 + 6 + 3 + 4 + 630 = 666.

51044634630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195734 + ... + 1237686.

It is an arithmetic number, because the mean of its divisors is an integer number (1509400035).

Almost surely, 251044634630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51044634630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72451201680).

51044634630 is an abundant number, since it is smaller than the sum of its proper divisors (93857768730).

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

51044634630 is a wasteful number, since it uses less digits than its factorization.

51044634630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43206 (or 43203 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 51044634630 in words is "fifty-one billion, forty-four million, six hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1229 2458 3687 6145 7374 11061 12290 13519 18435 22122 27038 36870 40557 41953 55305 67595 81114 83906 110610 121671 125859 135190 202785 209765 243342 251718 377577 405570 419530 461483 608355 629295 755154 922966 1216710 1258590 1384449 1887885 2307415 2768898 3775770 4153347 4614830 6922245 8306694 13844490 20766735 41533470 51560237 103120474 154680711 257801185 309361422 464042133 515602370 567162607 773403555 928084266 1134325214 1546807110 1701487821 2320210665 2835813035 3402975642 4640421330 5104463463 5671626070 8507439105 10208926926 17014878210 25522317315 51044634630