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21156370752 = 2631131633167
BaseRepresentation
bin10011101101000001…
…001001100101000000
32000121102102222201010
4103231001021211000
5321312012331002
613415154240520
71346163120126
oct235501114500
960542388633
1021156370752
118a77246530
124125286140
131cc213469a
141049ad9916
1583c53946c
hex4ed049940

21156370752 has 112 divisors (see below), whose sum is σ = 61103572992. Its totient is φ = 6406970880.

The previous prime is 21156370747. The next prime is 21156370757. The reversal of 21156370752 is 25707365112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21156370747) and next prime (21156370757).

It is a self number, because there is not a number n which added to its sum of digits gives 21156370752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21156370757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6678673 + ... + 6681839.

It is an arithmetic number, because the mean of its divisors is an integer number (545567616).

Almost surely, 221156370752 is an apocalyptic number.

21156370752 is a gapful number since it is divisible by the number (22) 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 21156370752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551786496).

21156370752 is an abundant number, since it is smaller than the sum of its proper divisors (39947202240).

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

21156370752 is a wasteful number, since it uses less digits than its factorization.

21156370752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 21156370752 in words is "twenty-one billion, one hundred fifty-six million, three hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3163 3167 6326 6334 9489 9501 12652 12668 18978 19002 25304 25336 34793 34837 37956 38004 50608 50672 69586 69674 75912 76008 101216 101344 104379 104511 139172 139348 151824 152016 202432 202688 208758 209022 278344 278696 303648 304032 417516 418044 556688 557392 607296 608064 835032 836088 1113376 1114784 1670064 1672176 2226752 2229568 3340128 3344352 6680256 6688704 10017221 20034442 30051663 40068884 60103326 80137768 110189431 120206652 160275536 220378862 240413304 320551072 330568293 440757724 480826608 641102144 661136586 881515448 961653216 1322273172 1763030896 1923306432 2644546344 3526061792 5289092688 7052123584 10578185376 21156370752