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56972473152 = 2637311136303
BaseRepresentation
bin110101000011110100…
…101111001101000000
312110001111202111200020
4311003310233031000
51413134423120102
642101153453440
74054555013550
oct650364571500
9173044674606
1056972473152
1122186526361
12b05bb71280
1354ac45859a
142a86763160
151736a72bbc
hexd43d2f340

56972473152 has 112 divisors (see below), whose sum is σ = 172829110272. Its totient is φ = 16225390080.

The previous prime is 56972473141. The next prime is 56972473163. The reversal of 56972473152 is 25137427965.

It is an interprime number because it is at equal distance from previous prime (56972473141) and next prime (56972473163).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 56972473095 and 56972473104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349833 + ... + 486135.

It is an arithmetic number, because the mean of its divisors is an integer number (1543117056).

Almost surely, 256972473152 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 56972473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86414555136).

56972473152 is an abundant number, since it is smaller than the sum of its proper divisors (115856637120).

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

56972473152 is a wasteful number, since it uses less digits than its factorization.

56972473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136636 (or 136626 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 56972473152 in words is "fifty-six billion, nine hundred seventy-two million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 311 336 448 622 672 933 1244 1344 1866 2177 2488 3732 4354 4976 6531 7464 8708 9952 13062 14928 17416 19904 26124 29856 34832 52248 59712 69664 104496 136303 139328 208992 272606 408909 417984 545212 817818 954121 1090424 1635636 1908242 2180848 2862363 3271272 3816484 4361696 5724726 6542544 7632968 8723392 11449452 13085088 15265936 22898904 26170176 30531872 42390233 45797808 61063744 84780466 91595616 127170699 169560932 183191232 254341398 296731631 339121864 508682796 593463262 678243728 890194893 1017365592 1186926524 1356487456 1780389786 2034731184 2373853048 2712974912 3560779572 4069462368 4747706096 7121559144 8138924736 9495412192 14243118288 18990824384 28486236576 56972473152