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20412524000 = 255311463921
BaseRepresentation
bin10011000000101011…
…100110010111100000
31221200120202122210102
4103000223212113200
5313301101232000
613213303121532
71321561406531
oct230053462740
957616678712
1020412524000
118725379450
123b581432a8
131c03cb288b
14db8dca688
157e70a53d5
hex4c0ae65e0

20412524000 has 96 divisors (see below), whose sum is σ = 54713104992. Its totient is φ = 7422720000.

The previous prime is 20412523993. The next prime is 20412524003. The reversal of 20412524000 is 42521402.

It is a happy number.

It is a super-2 number, since 2×204125240002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412524003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187961 + ... + 275960.

It is an arithmetic number, because the mean of its divisors is an integer number (569928177).

Almost surely, 220412524000 is an apocalyptic number.

20412524000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412524000 is an abundant number, since it is smaller than the sum of its proper divisors (34300580992).

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

20412524000 is a wasteful number, since it uses less digits than its factorization.

20412524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463957 (or 463939 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 20412524000 in words is "twenty billion, four hundred twelve million, five hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 463921 927842 1855684 2319605 3711368 4639210 5103131 7422736 9278420 10206262 11598025 14845472 18556840 20412524 23196050 25515655 37113680 40825048 46392100 51031310 57990125 74227360 81650096 92784200 102062620 115980250 127578275 163300192 185568400 204125240 231960500 255156550 371136800 408250480 463921000 510313100 637891375 816500960 927842000 1020626200 1275782750 1855684000 2041252400 2551565500 4082504800 5103131000 10206262000 20412524000