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201650401920 = 2735119547841
BaseRepresentation
bin1011101111001101001…
…1001111001010000000
3201021111100210210022110
42323303103033022000
511300440000330140
6232345323535320
720366041064262
oct2736323171200
9637440723273
10201650401920
1178579438630
12330b838a540
1316028221266
149a8d375b32
1553a32cc380
hex2ef34cf280

201650401920 has 128 divisors (see below), whose sum is σ = 701193516480. Its totient is φ = 48884940800.

The previous prime is 201650401889. The next prime is 201650401921. The reversal of 201650401920 is 29104056102.

201650401920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (201650401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4752801 + ... + 4795040.

Almost surely, 2201650401920 is an apocalyptic number.

201650401920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201650401920 is an abundant number, since it is smaller than the sum of its proper divisors (499543114560).

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

201650401920 is a wasteful number, since it uses less digits than its factorization.

201650401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547874 (or 9547862 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 201650401920 in words is "two hundred one billion, six hundred fifty million, four hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 9547841 19095682 28643523 38191364 47739205 57287046 76382728 95478410 105026251 114574092 143217615 152765456 190956820 210052502 229148184 286435230 305530912 315078753 381913640 420105004 458296368 525131255 572870460 611061824 630157506 763827280 840210008 916592736 1050262510 1145740920 1222123648 1260315012 1527654560 1575393765 1680420016 1833185472 2100525020 2291481840 2520630024 3055309120 3150787530 3360840032 3666370944 4201050040 4582963680 5041260048 6110618240 6301575060 6721680064 8402100080 9165927360 10082520096 12603150120 13443360128 16804200160 18331854720 20165040192 25206300240 33608400320 40330080384 50412600480 67216800640 100825200960 201650401920