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242770057106700 = 22352977828284057
BaseRepresentation
bin110111001100110001001111…
…000001000001010100001100
31011211120120221200201002010110
4313030301033001001110030
5223310021034104403300
62220155005151040020
7102064362221316414
oct6714611701012414
91154516850632113
10242770057106700
1170399226263a92
122328a568b10010
13a56016c778316
1443d41c22d3644
151d10016482550
hexdccc4f04150c

242770057106700 has 72 divisors (see below), whose sum is σ = 703133649972432. Its totient is φ = 64672419092480.

The previous prime is 242770057106699. The next prime is 242770057106719. The reversal of 242770057106700 is 7601750077242.

It is a self number, because there is not a number n which added to its sum of digits gives 242770057106700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413848929 + ... + 414435128.

It is an arithmetic number, because the mean of its divisors is an integer number (9765745138506).

Almost surely, 2242770057106700 is an apocalyptic number.

242770057106700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242770057106700 is an abundant number, since it is smaller than the sum of its proper divisors (460363592865732).

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

242770057106700 is a wasteful number, since it uses less digits than its factorization.

242770057106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828285051 (or 828285044 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 48.

The spelling of 242770057106700 in words is "two hundred forty-two trillion, seven hundred seventy billion, fifty-seven million, one hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 977 1954 2931 3908 4885 5862 9770 11724 14655 19540 24425 29310 48850 58620 73275 97700 146550 293100 828284057 1656568114 2484852171 3313136228 4141420285 4969704342 8282840570 9939408684 12424260855 16565681140 20707101425 24848521710 41414202850 49697043420 62121304275 82828405700 124242608550 248485217100 809233523689 1618467047378 2427700571067 3236934094756 4046167618445 4855401142134 8092335236890 9710802284268 12138502855335 16184670473780 20230838092225 24277005710670 40461676184450 48554011421340 60692514276675 80923352368900 121385028553350 242770057106700