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10705706671 = 1129477189113
BaseRepresentation
bin10011111100001110…
…00001111010101111
31000122002200020200111
421332013001322233
5133411130103141
64530152240451
7526204001542
oct117607017257
930562606614
1010705706671
1145a4101970
1220a93a0127
131017c7719a
14737b84859
15429d0b381
hex27e1c1eaf

10705706671 has 64 divisors (see below), whose sum is σ = 12765081600. Its totient is φ = 8886169600.

The previous prime is 10705706659. The next prime is 10705706743. The reversal of 10705706671 is 17660750701.

It is not a de Polignac number, because 10705706671 - 25 = 10705706639 is a prime.

It is a super-2 number, since 2×107057066712 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705706071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94740711 + ... + 94740823.

It is an arithmetic number, because the mean of its divisors is an integer number (199454400).

Almost surely, 210705706671 is an apocalyptic number.

10705706671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10705706671 is a deficient number, since it is larger than the sum of its proper divisors (2059374929).

10705706671 is a wasteful number, since it uses less digits than its factorization.

10705706671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 61740, while the sum is 40.

The spelling of 10705706671 in words is "ten billion, seven hundred five million, seven hundred six thousand, six hundred seventy-one".

Divisors: 1 11 29 47 71 89 113 319 517 781 979 1243 1363 2059 2581 3277 3337 4183 5311 6319 8023 10057 14993 22649 28391 36047 36707 46013 58421 69509 88253 96773 110627 121307 154019 183251 232667 291653 296993 377081 472679 714047 1064503 1334377 1694209 2015761 2559337 3208183 3266923 4147891 5199469 7854517 8612797 10935349 13707691 20707363 33560209 94740767 120288839 150784601 227780993 369162299 973246061 10705706671