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21155436240 = 2435467188753
BaseRepresentation
bin10011101100111101…
…100101011011010000
32000121100200111210120
4103230331211123100
5321311242424430
613415122230240
71346152145451
oct235475453320
960540614716
1021155436240
118a76768404
124124ab5380
131cc1b98213
141049935128
1583c402610
hex4ecf656d0

21155436240 has 80 divisors (see below), whose sum is σ = 65722632768. Its totient is φ = 5629339648.

The previous prime is 21155436233. The next prime is 21155436311. The reversal of 21155436240 is 4263455112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 17704 + ... + 206456.

Almost surely, 221155436240 is an apocalyptic number.

21155436240 is a gapful number since it is divisible by the number (20) 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 21155436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32861316384).

21155436240 is an abundant number, since it is smaller than the sum of its proper divisors (44567196528).

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

21155436240 is a wasteful number, since it uses less digits than its factorization.

21155436240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189236 (or 189230 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 21155436240 in words is "twenty-one billion, one hundred fifty-five million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 18680 22416 28020 37360 56040 112080 188753 377506 566259 755012 943765 1132518 1510024 1887530 2265036 2831295 3020048 3775060 4530072 5662590 7550120 9060144 11325180 15100240 22650360 45300720 88147651 176295302 264442953 352590604 440738255 528885906 705181208 881476510 1057771812 1322214765 1410362416 1762953020 2115543624 2644429530 3525906040 4231087248 5288859060 7051812080 10577718120 21155436240