Search a number
-
+
806125597956 = 22357118478189
BaseRepresentation
bin10111011101100001101…
…01000111010100000100
32212001202021112100200000
423232300311013110010
5101201421123113311
61414155021121300
7112145354345130
oct13566065072404
92761667470600
10806125597956
1129096a980148
121102959b9230
135b02c07c353
142b033b0a3c0
1515e80e89056
hexbbb0d47504

806125597956 has 72 divisors (see below), whose sum is σ = 2415059424960. Its totient is φ = 230321597472.

The previous prime is 806125597913. The next prime is 806125597961. The reversal of 806125597956 is 659795521608.

806125597956 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 2 + 559 + 79 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 806125597893 and 806125597902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59232291 + ... + 59245898.

Almost surely, 2806125597956 is an apocalyptic number.

It is an amenable number.

806125597956 is an abundant number, since it is smaller than the sum of its proper divisors (1608933827004).

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

806125597956 is a wasteful number, since it uses less digits than its factorization.

806125597956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118478215 (or 118478201 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 806125597956 in words is "eight hundred six billion, one hundred twenty-five million, five hundred ninety-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 118478189 236956378 355434567 473912756 710869134 829347323 1066303701 1421738268 1658694646 2132607402 2488041969 3198911103 3317389292 4265214804 4976083938 6397822206 7464125907 9596733309 9952167876 12795644412 14928251814 19193466618 22392377721 28790199927 29856503628 38386933236 44784755442 57580399854 67177133163 89569510884 115160799708 134354266326 201531399489 268708532652 403062798978 806125597956