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106217747636 = 227111331855739
BaseRepresentation
bin110001011101100010…
…0100011010010110100
3101011011111102122112012
41202323010203102310
53220013220411021
6120443514543352
710450113646430
oct1427304432264
9334144378465
10106217747636
1141057170a10
1218704137b58
13a029a37960
1451d8b519c0
152b6a03535b
hex18bb1234b4

106217747636 has 96 divisors (see below), whose sum is σ = 257625661440. Its totient is φ = 36967881600.

The previous prime is 106217747627. The next prime is 106217747677. The reversal of 106217747636 is 636747712601.

It is a super-2 number, since 2×1062177476362 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 303746 + ... + 551993.

It is an arithmetic number, because the mean of its divisors is an integer number (2683600640).

Almost surely, 2106217747636 is an apocalyptic number.

It is an amenable number.

106217747636 is an abundant number, since it is smaller than the sum of its proper divisors (151407913804).

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

106217747636 is a wasteful number, since it uses less digits than its factorization.

106217747636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855805 (or 855803 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 106217747636 in words is "one hundred six billion, two hundred seventeen million, seven hundred forty-seven thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 2002 2387 2821 4004 4433 4774 5642 8866 9548 11284 17732 31031 62062 124124 855739 1711478 3422956 5990173 9413129 11124607 11980346 18826258 22249214 23960692 26527909 37652516 44498428 53055818 65891903 77872249 106111636 122370677 131783806 155744498 185695363 244741354 263567612 291806999 311488996 344862817 371390726 489482708 583613998 689725634 742781452 856594739 1167227996 1379451268 1713189478 2042648993 2414039719 3426378956 3793490987 4085297986 4828079438 7586981974 8170595972 9656158876 15173963948 26554436909 53108873818 106217747636