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106136632647640 = 2357379059402313
BaseRepresentation
bin11000001000011111011100…
…010010010101111111011000
3111220210120012102021201220001
4120020133130102111333120
5102402420310424211030
61013422255041342344
731233055462042060
oct3010373422257730
9456716172251801
10106136632647640
1130900325176031
12baa1ba76379b4
13472b84553302a
141c2d07cd203a0
15c40ccda1ecca
hex6087dc495fd8

106136632647640 has 32 divisors (see below), whose sum is σ = 272922769666080. Its totient is φ = 36389702621952.

The previous prime is 106136632647589. The next prime is 106136632647659. The reversal of 106136632647640 is 46746236631601.

106136632647640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061366326476402 (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 7 ways as a sum of consecutive naturals, for example, 189529700877 + ... + 189529701436.

It is an arithmetic number, because the mean of its divisors is an integer number (8528836552065).

Almost surely, 2106136632647640 is an apocalyptic number.

106136632647640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106136632647640 is an abundant number, since it is smaller than the sum of its proper divisors (166786137018440).

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

106136632647640 is a wasteful number, since it uses less digits than its factorization.

106136632647640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379059402331 (or 379059402327 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 106136632647640 in words is "one hundred six trillion, one hundred thirty-six billion, six hundred thirty-two million, six hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 379059402313 758118804626 1516237609252 1895297011565 2653415816191 3032475218504 3790594023130 5306831632382 7581188046260 10613663264764 13267079080955 15162376092520 21227326529528 26534158161910 53068316323820 106136632647640