Search a number
-
+
51150661506 = 23272921316569
BaseRepresentation
bin101111101000110100…
…010010011110000010
311220000202222211110200
4233220310102132002
51314224032132011
635255344110030
73460363310010
oct575064223602
9156022884420
1051150661506
111a76924007a
129ab6305316
134a9227ac19
1426934998b0
1514e58d6856
hexbe8d12782

51150661506 has 96 divisors (see below), whose sum is σ = 131107766400. Its totient is φ = 14101758720.

The previous prime is 51150661459. The next prime is 51150661511. The reversal of 51150661506 is 60516605115.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7783390 + ... + 7789958.

It is an arithmetic number, because the mean of its divisors is an integer number (1365705900).

Almost surely, 251150661506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51150661506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553883200).

51150661506 is an abundant number, since it is smaller than the sum of its proper divisors (79957104894).

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

51150661506 is a wasteful number, since it uses less digits than its factorization.

51150661506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51150661506 in words is "fifty-one billion, one hundred fifty million, six hundred sixty-one thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 2131 3654 4262 6393 6569 12786 13138 14917 19179 19707 29834 38358 39414 44751 45983 59121 61799 89502 91966 118242 123598 134253 137949 185397 190501 268506 275898 370794 381002 413847 432593 556191 571503 827694 865186 1112382 1143006 1297779 1333507 1714509 2595558 2667014 3429018 3893337 4000521 7786674 8001042 12001563 13998539 24003126 27997078 41995617 83991234 97989773 125986851 195979546 251973702 293969319 405957631 587938638 811915262 881907957 1217872893 1763815914 2435745786 2841703417 3653618679 5683406834 7307237358 8525110251 17050220502 25575330753 51150661506