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21235527040 = 275713364621
BaseRepresentation
bin10011110001101111…
…000110110110000000
32000210221101112201111
4103301233012312000
5321442243331130
613431103013104
71351144000360
oct236157066600
960727345644
1021235527040
1190079a0852
12414789a194
13200565aa20
1410564229a0
1584447302a
hex4f1bc6d80

21235527040 has 128 divisors (see below), whose sum is σ = 62481625920. Its totient is φ = 6720675840.

The previous prime is 21235527017. The next prime is 21235527091. The reversal of 21235527040 is 4072553212.

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

It is a junction number, because it is equal to n+sod(n) for n = 21235526993 and 21235527011.

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, 124071 + ... + 240550.

Almost surely, 221235527040 is an apocalyptic number.

21235527040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21235527040 is an abundant number, since it is smaller than the sum of its proper divisors (41246098880).

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

21235527040 is a wasteful number, since it uses less digits than its factorization.

21235527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364660 (or 364648 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 21235527040 in words is "twenty-one billion, two hundred thirty-five million, five hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 58240 364621 729242 1458484 1823105 2552347 2916968 3646210 4740073 5104694 5833936 7292420 9480146 10209388 11667872 12761735 14584840 18960292 20418776 23335744 23700365 25523470 29169680 33180511 37920584 40837552 46671488 47400730 51046940 58339360 66361022 75841168 81675104 94801460 102093880 116678720 132722044 151682336 163350208 165902555 189602920 204187760 233357440 265444088 303364672 326700416 331805110 379205840 408375520 530888176 606729344 663610220 758411680 816751040 1061776352 1327220440 1516823360 1633502080 2123552704 2654440880 3033646720 4247105408 5308881760 10617763520 21235527040