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10247261377 = 171135334337
BaseRepresentation
bin10011000101100100…
…01100110011000001
3222110011000210222011
421202302030303001
5131441244331002
64412454212521
7511636166413
oct114262146301
928404023864
1010247261377
114389348161
121b9b954141
13c73cb1492
146d2d289b3
153ee9508d7
hex262c8ccc1

10247261377 has 8 divisors (see below), whose sum is σ = 10946061576. Its totient is φ = 9559130112.

The previous prime is 10247261347. The next prime is 10247261383. The reversal of 10247261377 is 77316274201.

10247261377 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2683654416 + 7563606961 = 51804^2 + 86969^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10247261377 - 27 = 10247261249 is a prime.

It is a super-2 number, since 2×102472613772 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10247261347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2665248 + ... + 2669089.

It is an arithmetic number, because the mean of its divisors is an integer number (1368257697).

Almost surely, 210247261377 is an apocalyptic number.

10247261377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10247261377 is a deficient number, since it is larger than the sum of its proper divisors (698800199).

10247261377 is a wasteful number, since it uses less digits than its factorization.

10247261377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334467.

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 10247261377 in words is "ten billion, two hundred forty-seven million, two hundred sixty-one thousand, three hundred seventy-seven".

Divisors: 1 17 113 1921 5334337 90683729 602780081 10247261377