Search a number
-
+
39606011142093 = 3311268099178021
BaseRepresentation
bin10010000000101011111100…
…01110011001111111001101
312012020022001000101022002000
421000111332032121333031
520142401102323021333
6220122430023422513
711225303610025224
oct1100257616317715
9165208030338060
1039606011142093
111168a8a6843800
124537ab0bb4a39
131913aa5426846
149acd267c5cbb
1548a39ae0c713
hex24057e399fcd

39606011142093 has 48 divisors (see below), whose sum is σ = 64495946424000. Its totient is φ = 24003155800800.

The previous prime is 39606011142001. The next prime is 39606011142133. The reversal of 39606011142093 is 39024111060693.

39606011142093 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 601 + 1 + 14 + 20 + 9 + 3 = 666.

It is not a de Polignac number, because 39606011142093 - 212 = 39606011137997 is a prime.

It is a super-2 number, since 2×396060111420932 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39606011942093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222390423 + ... + 222568443.

It is an arithmetic number, because the mean of its divisors is an integer number (1343665550500).

Almost surely, 239606011142093 is an apocalyptic number.

39606011142093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39606011142093 is a deficient number, since it is larger than the sum of its proper divisors (24889935281907).

39606011142093 is a wasteful number, since it uses less digits than its factorization.

39606011142093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246151 (or 246134 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 39606011142093 in words is "thirty-nine trillion, six hundred six billion, eleven million, one hundred forty-two thousand, ninety-three".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 68099 178021 204297 534063 612891 749089 1602189 1838673 1958231 2247267 4806567 5874693 6741801 8239979 17624079 20225403 21540541 24719937 52872237 64621623 74159811 193864869 222479433 581594607 12123052079 36369156237 109107468711 133353572869 327322406133 400060718607 1200182155821 1466889301559 3600546467463 4400667904677 13202003714031 39606011142093