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2074533224976 = 2434400092
BaseRepresentation
bin11110001100000011110…
…100001110001000010000
321100022201210020222110000
4132030003310032020100
5232442121001144401
64225005530410000
7302610603315042
oct36140364161020
97308653228400
102074533224976
1172a893a16983
12296084b90900
13120820c19364
147259d57da92
1538e6b591186
hex1e303d0e210

2074533224976 has 75 divisors (see below), whose sum is σ = 6004451101341. Its totient is φ = 691493791104.

The previous prime is 2074533224923. The next prime is 2074533224983. The reversal of 2074533224976 is 6794223354702.

It is a happy number.

The square root of 2074533224976 is 1440324.

It is a perfect power (a square), and thus also a powerful number.

2074533224976 is a `hidden beast` number, since 2 + 0 + 74 + 53 + 32 + 2 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2072666984976 + 1866240000 = 1439676^2 + 43200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51831660 + ... + 51871668.

Almost surely, 22074533224976 is an apocalyptic number.

2074533224976 is the 1440324-th square number.

It is an amenable number.

2074533224976 is an abundant number, since it is smaller than the sum of its proper divisors (3929917876365).

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

2074533224976 is an frugal number, since it uses more digits than its factorization.

2074533224976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80038 (or 40014 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2074533224976 in words is "two trillion, seventy-four billion, five hundred thirty-three million, two hundred twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 40009 80018 120027 160036 240054 320072 360081 480108 640144 720162 960216 1080243 1440324 1920432 2160486 2880648 3240729 4320972 5761296 6481458 8641944 12962916 17283888 25925832 51851664 1600720081 3201440162 4802160243 6402880324 9604320486 12805760648 14406480729 19208640972 25611521296 28812961458 38417281944 43219442187 57625922916 76834563888 86438884374 115251845832 129658326561 172877768748 230503691664 259316653122 345755537496 518633306244 691511074992 1037266612488 2074533224976