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2107606204144 = 247167179629509
BaseRepresentation
bin11110101010110111000…
…111100111111011110000
321110111002200220101202101
4132222313013213323300
5234012334142013034
64252115415230144
7305161306101610
oct36526707477360
97414080811671
102107606204144
11742915836711
122a0575078354
13123991b3850c
1474019b8aa40
1539c54d77514
hex1eab71e7ef0

2107606204144 has 80 divisors (see below), whose sum is σ = 4721022835200. Its totient is φ = 892833714432.

The previous prime is 2107606204141. The next prime is 2107606204147. The reversal of 2107606204144 is 4414026067012.

It is an interprime number because it is at equal distance from previous prime (2107606204141) and next prime (2107606204147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107606204141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033262 + ... + 3662770.

It is an arithmetic number, because the mean of its divisors is an integer number (59012785440).

Almost surely, 22107606204144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107606204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360511417600).

2107606204144 is an abundant number, since it is smaller than the sum of its proper divisors (2613416631056).

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

2107606204144 is a wasteful number, since it uses less digits than its factorization.

2107606204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629870 (or 629864 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 2107606204144 in words is "two trillion, one hundred seven billion, six hundred six million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 179 334 358 668 716 1169 1253 1336 1432 2338 2506 2672 2864 4676 5012 9352 10024 18704 20048 29893 59786 119572 209251 239144 418502 478288 629509 837004 1259018 1674008 2518036 3348016 4406563 5036072 8813126 10072144 17626252 35252504 70505008 105128003 112682111 210256006 225364222 420512012 450728444 735896021 788774777 841024024 901456888 1471792042 1577549554 1682048048 1802913776 2943584084 3155099108 5887168168 6310198216 11774336336 12620396432 18817912537 37635825074 75271650148 131725387759 150543300296 263450775518 301086600592 526901551036 1053803102072 2107606204144