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20700721440 = 2532572053643
BaseRepresentation
bin10011010001110110…
…111111000100100000
31222102200001121100200
4103101312333010200
5314343341041230
613302040145200
71331661141360
oct232166770440
958380047320
1020700721440
118863021453
124018768200
131c4b90a4c9
1410053aa9a0
15812532160
hex4d1dbf120

20700721440 has 144 divisors (see below), whose sum is σ = 80732852928. Its totient is φ = 4731591168.

The previous prime is 20700721427. The next prime is 20700721451. The reversal of 20700721440 is 4412700702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016742 + ... + 1036901.

It is an arithmetic number, because the mean of its divisors is an integer number (560644812).

Almost surely, 220700721440 is an apocalyptic number.

20700721440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20700721440 is an abundant number, since it is smaller than the sum of its proper divisors (60032131488).

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

20700721440 is a wasteful number, since it uses less digits than its factorization.

20700721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053671 (or 2053660 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 20700721440 in words is "twenty billion, seven hundred million, seven hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2053643 4107286 6160929 8214572 10268215 12321858 14375501 16429144 18482787 20536430 24643716 28751002 30804645 32858288 36965574 41072860 43126503 49287432 57502004 61609290 65716576 71877505 73931148 82145720 86253006 92413935 98574864 115004008 123218580 129379509 143755010 147862296 164291440 172506012 184827870 197149728 215632515 230008016 246437160 258759018 287510020 295724592 328582880 345012024 369655740 431265030 460016032 492874320 517518036 575020040 591449184 646897545 690024048 739311480 862530060 985748640 1035036072 1150040080 1293795090 1380048096 1478622960 1725060120 2070072144 2300080160 2587590180 2957245920 3450120240 4140144288 5175180360 6900240480 10350360720 20700721440