Search a number
-
+
106647374346814 = 2723893327951571
BaseRepresentation
bin11000001111111011000110…
…110111010011101000111110
3111222121101111212220022020201
4120033323012313103220332
5102434302310313044224
61014453043304434114
731315006232620600
oct3017730667235076
9458541455808221
10106647374346814
1130a87996589064
12bb64b85a7893a
134767a5bc1a702
141c49a909b7170
15c4e2226bda44
hex60fec6dd3a3e

106647374346814 has 24 divisors (see below), whose sum is σ = 186093572226408. Its totient is φ = 45704841976080.

The previous prime is 106647374346781. The next prime is 106647374346827. The reversal of 106647374346814 is 418643473746601.

It is a super-2 number, since 2×1066473743468142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10160352 + ... + 17791219.

It is an arithmetic number, because the mean of its divisors is an integer number (7753898842767).

Almost surely, 2106647374346814 is an apocalyptic number.

106647374346814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106647374346814 is a deficient number, since it is larger than the sum of its proper divisors (79446197879594).

106647374346814 is a wasteful number, since it uses less digits than its factorization.

106647374346814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27990520 (or 27990513 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 64.

The spelling of 106647374346814 in words is "one hundred six trillion, six hundred forty-seven billion, three hundred seventy-four million, three hundred forty-six thousand, eight hundred fourteen".

Divisors: 1 2 7 14 49 98 38933 77866 272531 545062 1907717 3815434 27951571 55903142 195660997 391321994 1369626979 2739253958 1088238513743 2176477027486 7617669596201 15235339192402 53323687173407 106647374346814