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21155335040 = 27574722173
BaseRepresentation
bin10011101100111101…
…001100101110000000
32000121100111100222102
4103230331030232000
5321311231210130
613415120125532
71346151244430
oct235475145600
960540440872
1021155335040
118a766a9374
124124a668a8
131cc1b61138
14104990a2c0
1583c3d2645
hex4ecf4cb80

21155335040 has 64 divisors (see below), whose sum is σ = 57799409760. Its totient is φ = 7253256192.

The previous prime is 21155335037. The next prime is 21155335043. The reversal of 21155335040 is 4053355112.

It is an interprime number because it is at equal distance from previous prime (21155335037) and next prime (21155335043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21155334994 and 21155335012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21155335043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2356607 + ... + 2365566.

Almost surely, 221155335040 is an apocalyptic number.

21155335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21155335040 is an abundant number, since it is smaller than the sum of its proper divisors (36644074720).

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

21155335040 is an equidigital number, since it uses as much as digits as its factorization.

21155335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722199 (or 4722187 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 21155335040 in words is "twenty-one billion, one hundred fifty-five million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4722173 9444346 18888692 23610865 33055211 37777384 47221730 66110422 75554768 94443460 132220844 151109536 165276055 188886920 264441688 302219072 330552110 377773840 528883376 604438144 661104220 755547680 1057766752 1322208440 1511095360 2115533504 2644416880 3022190720 4231067008 5288833760 10577667520 21155335040