Search a number
-
+
76338413856 = 25322311524519
BaseRepresentation
bin100011100011000011…
…1111100000100100000
321022001011012020002100
41013012013330010200
52222320113220411
655022553050400
75341510545225
oct1070607740440
9238034166070
1076338413856
112a414054231
12129656b6a00
137277670ab3
1439a275794c
151ebbce4456
hex11c61fc120

76338413856 has 72 divisors (see below), whose sum is σ = 226525965120. Its totient is φ = 24339782016.

The previous prime is 76338413831. The next prime is 76338413867. The reversal of 76338413856 is 65831483367.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×763384138563 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5755636 + ... + 5768883.

It is an arithmetic number, because the mean of its divisors is an integer number (3146193960).

Almost surely, 276338413856 is an apocalyptic number.

It is an amenable number.

76338413856 is an abundant number, since it is smaller than the sum of its proper divisors (150187551264).

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

76338413856 is a wasteful number, since it uses less digits than its factorization.

76338413856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524558 (or 11524547 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 76338413856 in words is "seventy-six billion, three hundred thirty-eight million, four hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 11524519 23049038 34573557 46098076 69147114 92196152 103720671 138294228 184392304 207441342 265063937 276588456 368784608 414882684 530127874 553176912 795191811 829765368 1060255748 1106353824 1590383622 1659530736 2120511496 2385575433 3180767244 3319061472 4241022992 4771150866 6361534488 8482045984 9542301732 12723068976 19084603464 25446137952 38169206928 76338413856