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55268679200 = 2552764315349
BaseRepresentation
bin110011011110010001…
…010001111000100000
312021122202202210202112
4303132101101320200
51401142240213300
641220131334452
73664416010340
oct633621217040
9167582683675
1055268679200
1121491801789
12a865451428
13529a481197
142964370d20
1516871bee35
hexcde451e20

55268679200 has 144 divisors (see below), whose sum is σ = 154449489600. Its totient is φ = 18918558720.

The previous prime is 55268679139. The next prime is 55268679223. The reversal of 55268679200 is 297686255.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 3593126 + ... + 3608474.

It is an arithmetic number, because the mean of its divisors is an integer number (1072565900).

Almost surely, 255268679200 is an apocalyptic number.

55268679200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55268679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77224744800).

55268679200 is an abundant number, since it is smaller than the sum of its proper divisors (99180810400).

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

55268679200 is a wasteful number, since it uses less digits than its factorization.

55268679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16019 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 55268679200 in words is "fifty-five billion, two hundred sixty-eight million, six hundred seventy-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 643 700 800 1120 1286 1400 2572 2800 3215 4501 5144 5600 6430 9002 10288 12860 15349 16075 18004 20576 22505 25720 30698 32150 36008 45010 51440 61396 64300 72016 76745 90020 102880 107443 112525 122792 128600 144032 153490 180040 214886 225050 245584 257200 306980 360080 383725 429772 450100 491168 514400 537215 613960 720160 767450 859544 900200 1074430 1227920 1534900 1719088 1800400 2148860 2455840 2686075 3069800 3438176 3600800 4297720 5372150 6139600 8595440 9869407 10744300 12279200 17190880 19738814 21488600 39477628 42977200 49347035 69085849 78955256 85954400 98694070 138171698 157910512 197388140 246735175 276343396 315821024 345429245 394776280 493470350 552686792 690858490 789552560 986940700 1105373584 1381716980 1579105120 1727146225 1973881400 2210747168 2763433960 3454292450 3947762800 5526867920 6908584900 7895525600 11053735840 13817169800 27634339600 55268679200