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10077172017 = 311305368849
BaseRepresentation
bin10010110001010010…
…10111000100110001
3222000021222101020020
421120221113010301
5131114224001032
64343540434053
7504502356153
oct113051270461
928007871206
1010077172017
114301334540
121b529a8929
13c4799a5a3
146b84d0ad3
153dea53b2c
hex258a57131

10077172017 has 8 divisors (see below), whose sum is σ = 14657704800. Its totient is φ = 6107376960.

The previous prime is 10077171989. The next prime is 10077172043. The reversal of 10077172017 is 71027177001.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2k-10077172017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 305368849 = 10077172017 / (1 + 0 + 0 + 7 + 7 + 1 + 7 + 2 + 0 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (10077172057) 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, 152684392 + ... + 152684457.

It is an arithmetic number, because the mean of its divisors is an integer number (1832213100).

Almost surely, 210077172017 is an apocalyptic number.

It is an amenable number.

10077172017 is a deficient number, since it is larger than the sum of its proper divisors (4580532783).

10077172017 is a wasteful number, since it uses less digits than its factorization.

10077172017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305368863.

The product of its (nonzero) digits is 4802, while the sum is 33.

The spelling of 10077172017 in words is "ten billion, seventy-seven million, one hundred seventy-two thousand, seventeen".

Divisors: 1 3 11 33 305368849 916106547 3359057339 10077172017