Search a number
-
+
51017120676 = 2234367487881
BaseRepresentation
bin101111100000110110…
…110111101110100100
311212200110201020220000
4233200312313232210
51313440340330201
635234213541300
73454152241104
oct574066675644
9155613636800
1051017120676
111a6aa91a955
129a79644830
134a706c2892
14267d857204
1514d8d08d86
hexbe0db7ba4

51017120676 has 120 divisors (see below), whose sum is σ = 134158945536. Its totient is φ = 16905335040.

The previous prime is 51017120633. The next prime is 51017120689. The reversal of 51017120676 is 67602171015.

51017120676 is a `hidden beast` number, since 510 + 1 + 71 + 2 + 0 + 6 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51017120676.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57907756 + ... + 57908636.

Almost surely, 251017120676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51017120676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079472768).

51017120676 is an abundant number, since it is smaller than the sum of its proper divisors (83141824860).

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

51017120676 is a wasteful number, since it uses less digits than its factorization.

51017120676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 51017120676 in words is "fifty-one billion, seventeen million, one hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 367 487 734 881 974 1101 1461 1468 1762 1948 2202 2643 2922 3303 3524 4383 4404 5286 5844 6606 7929 8766 9909 10572 13149 13212 15858 17532 19818 23787 26298 29727 31716 39447 39636 47574 52596 59454 71361 78894 95148 118908 142722 157788 178729 285444 323327 357458 429047 536187 646654 714916 858094 969981 1072374 1287141 1293308 1608561 1716188 1939962 2144748 2574282 2909943 3217122 3861423 3879924 4825683 5148564 5819886 6434244 7722846 8729829 9651366 11584269 11639772 14477049 15445692 17459658 19302732 23168538 26189487 28954098 34752807 34919316 46337076 52378974 57908196 69505614 104757948 139011228 157460249 314920498 472380747 629840996 944761494 1417142241 1889522988 2834284482 4251426723 5668568964 8502853446 12754280169 17005706892 25508560338 51017120676