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4251690641 = 113147311853
BaseRepresentation
bin1111110101101011…
…1010011010010001
3101222022022021002202
43331122322122101
532201413100031
61541520252545
7210234526352
oct37532723221
911868267082
104251690641
111891a72120
129a7a71155
13529b067a3
142c494dd29
1519d3e02cb
hexfd6ba691

4251690641 has 32 divisors (see below), whose sum is σ = 4911169536. Its totient is φ = 3644856000.

The previous prime is 4251690637. The next prime is 4251690643. The reversal of 4251690641 is 1460961524.

It is not a de Polignac number, because 4251690641 - 22 = 4251690637 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4251690595 and 4251690604.

It is not an unprimeable number, because it can be changed into a prime (4251690643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4983971 + ... + 4984823.

It is an arithmetic number, because the mean of its divisors is an integer number (153474048).

Almost surely, 24251690641 is an apocalyptic number.

It is an amenable number.

4251690641 is a deficient number, since it is larger than the sum of its proper divisors (659478895).

4251690641 is a wasteful number, since it uses less digits than its factorization.

4251690641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 4251690641 is about 65204.9893873161. The cubic root of 4251690641 is about 1620.0206572837.

The spelling of 4251690641 in words is "four billion, two hundred fifty-one million, six hundred ninety thousand, six hundred forty-one".

Divisors: 1 11 31 47 311 341 517 853 1457 3421 9383 9641 14617 16027 26443 40091 106051 160787 265283 290873 441001 453127 1242821 2918113 4984397 8223773 12468301 13671031 90461503 137151311 386517331 4251690641