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21170272000 = 28533121341
BaseRepresentation
bin10011101101110110…
…001011011100000000
32000122101121020122011
4103231312023130000
5321324042201000
613420412222304
71346422225423
oct235566133400
960571536564
1021170272000
118a84080769
124129a6a994
131cc4c90b87
14104b8b79ba
1583d8832ba
hex4edd8b700

21170272000 has 144 divisors (see below), whose sum is σ = 54441563904. Its totient is φ = 8194560000.

The previous prime is 21170271931. The next prime is 21170272051. The reversal of 21170272000 is 27207112.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 981330 + ... + 1002670.

It is an arithmetic number, because the mean of its divisors is an integer number (378066416).

Almost surely, 221170272000 is an apocalyptic number.

21170272000 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 21170272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27220781952).

21170272000 is an abundant number, since it is smaller than the sum of its proper divisors (33271291904).

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

21170272000 is an equidigital number, since it uses as much as digits as its factorization.

21170272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

Adding to 21170272000 its reverse (27207112), we get a palindrome (21197479112).

The spelling of 21170272000 in words is "twenty-one billion, one hundred seventy million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 256 310 320 400 496 500 620 640 775 800 992 1000 1240 1280 1550 1600 1984 2000 2480 3100 3200 3875 3968 4000 4960 6200 6400 7750 7936 8000 9920 12400 15500 16000 19840 21341 24800 31000 32000 39680 42682 49600 62000 85364 99200 106705 124000 170728 198400 213410 248000 341456 426820 496000 533525 661571 682912 853640 992000 1067050 1323142 1365824 1707280 2134100 2646284 2667625 2731648 3307855 3414560 4268200 5292568 5335250 5463296 6615710 6829120 8536400 10585136 10670500 13231420 13658240 16539275 17072800 21170272 21341000 26462840 27316480 33078550 34145600 42340544 42682000 52925680 66157100 68291200 82696375 84681088 85364000 105851360 132314200 136582400 165392750 169362176 170728000 211702720 264628400 330785500 341456000 423405440 529256800 661571000 682912000 846810880 1058513600 1323142000 2117027200 2646284000 4234054400 5292568000 10585136000 21170272000