Search a number
-
+
76734287856 = 24325312238221
BaseRepresentation
bin100011101110110111…
…0000100111111110000
321100001202002201010100
41013131232010333300
52224122434202411
655130134032400
75354355453642
oct1073556047760
9240052081110
1076734287856
112a5a7561226
1212a561a8700
13730b699375
1439dd166892
151ee1940456
hex11ddb84ff0

76734287856 has 120 divisors (see below), whose sum is σ = 219006848736. Its totient is φ = 25071920640.

The previous prime is 76734287837. The next prime is 76734287869. The reversal of 76734287856 is 65878243767.

76734287856 is a `hidden beast` number, since 76 + 73 + 428 + 78 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76734287793 and 76734287802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9329826 + ... + 9338046.

Almost surely, 276734287856 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 76734287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109503424368).

76734287856 is an abundant number, since it is smaller than the sum of its proper divisors (142272560880).

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

76734287856 is a wasteful number, since it uses less digits than its factorization.

76734287856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9502 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 76734287856 in words is "seventy-six billion, seven hundred thirty-four million, two hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1223 1272 1908 2446 2544 3669 3816 4892 7338 7632 8221 9784 11007 14676 16442 19568 22014 24663 29352 32884 44028 49326 58704 64819 65768 73989 88056 98652 129638 131536 147978 176112 194457 197304 259276 295956 388914 394608 435713 518552 583371 591912 777828 871426 1037104 1166742 1183824 1307139 1555656 1742852 2333484 2614278 3111312 3485704 3921417 4666968 5228556 6971408 7842834 9333936 10054283 10457112 15685668 20108566 20914224 30162849 31371336 40217132 60325698 62742672 80434264 90488547 120651396 160868528 180977094 241302792 361954188 482605584 532876999 723908376 1065753998 1447816752 1598630997 2131507996 3197261994 4263015992 4795892991 6394523988 8526031984 9591785982 12789047976 19183571964 25578095952 38367143928 76734287856