Search a number
-
+
51006010604976 = 2433716867066999
BaseRepresentation
bin10111001100011110000110…
…01001001011110110110000
320200121010102120121001121000
423212033003021023312300
523141140302203324401
6300251500544002000
713513030330444620
oct1346170311136660
9220533376531530
1051006010604976
1115285589298509
125879381900300
13225cb0002b5bb
14c849c0020880
155d6bb3e06186
hex2e63c324bdb0

51006010604976 has 80 divisors (see below), whose sum is σ = 167321304640000. Its totient is φ = 14573145886272.

The previous prime is 51006010604963. The next prime is 51006010605041. The reversal of 51006010604976 is 67940601060015.

51006010604976 is a `hidden beast` number, since 51 + 0 + 0 + 6 + 0 + 106 + 0 + 497 + 6 = 666.

51006010604976 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×510060106049762 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8433530476 + ... + 8433536523.

It is an arithmetic number, because the mean of its divisors is an integer number (2091516308000).

Almost surely, 251006010604976 is an apocalyptic number.

51006010604976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51006010604976 is an abundant number, since it is smaller than the sum of its proper divisors (116315294035024).

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

51006010604976 is a wasteful number, since it uses less digits than its factorization.

51006010604976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867067023 (or 16867067011 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 51006010604976 in words is "fifty-one trillion, six billion, ten million, six hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 16867066999 33734133998 50601200997 67468267996 101202401994 118069468993 134936535992 151803602991 202404803988 236138937986 269873071984 303607205982 354208406979 404809607976 455410808973 472277875972 607214411964 708416813958 809619215952 910821617946 944555751944 1062625220937 1214428823928 1416833627916 1821643235892 1889111503888 2125250441874 2428857647856 2833667255832 3187875662811 3643286471784 4250500883748 5667334511664 6375751325622 7286572943568 8501001767496 12751502651244 17002003534992 25503005302488 51006010604976