Search a number
-
+
51638103984 = 2433731392893
BaseRepresentation
bin110000000101110111…
…101110111110110000
311221021202012110211210
4300011313232332300
51321223323311414
635415555440120
73505432433055
oct600567567660
9157252173753
1051638103984
111a9993aa8a5
12a0115b6040
134b3c25731c
1426dc10302c
1515235bde59
hexc05deefb0

51638103984 has 80 divisors (see below), whose sum is σ = 137442989792. Its totient is φ = 16693807104.

The previous prime is 51638103971. The next prime is 51638104003. The reversal of 51638103984 is 48930183615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509442 + ... + 602334.

Almost surely, 251638103984 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 51638103984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68721494896).

51638103984 is an abundant number, since it is smaller than the sum of its proper divisors (85804885808).

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

51638103984 is a wasteful number, since it uses less digits than its factorization.

51638103984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93254 (or 93248 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 51638103984 in words is "fifty-one billion, six hundred thirty-eight million, one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 313 444 592 626 888 939 1252 1776 1878 2504 3756 5008 7512 11581 15024 23162 34743 46324 69486 92648 92893 138972 185296 185786 277944 278679 371572 555888 557358 743144 1114716 1486288 2229432 3437041 4458864 6874082 10311123 13748164 20622246 27496328 29075509 41244492 54992656 58151018 82488984 87226527 116302036 164977968 174453054 232604072 348906108 465208144 697812216 1075793833 1395624432 2151587666 3227381499 4303175332 6454762998 8606350664 12909525996 17212701328 25819051992 51638103984