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21219226752 = 2731925111587
BaseRepresentation
bin10011110000110000…
…111011010010000000
32000202210201101221010
4103300300323102000
5321424110224002
613425321400520
71350555310563
oct236060732200
960683641833
1021219226752
118aa9778139
124142339140
132002171599
1410541bc4da
15842d0346c
hex4f0c3b480

21219226752 has 128 divisors (see below), whose sum is σ = 59571590400. Its totient is φ = 6673536000.

The previous prime is 21219226751. The next prime is 21219226799. The reversal of 21219226752 is 25762291212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21219226752.

It is not an unprimeable number, because it can be changed into a prime (21219226751) 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, 1825503 + ... + 1837089.

It is an arithmetic number, because the mean of its divisors is an integer number (465403050).

Almost surely, 221219226752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21219226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29785795200).

21219226752 is an abundant number, since it is smaller than the sum of its proper divisors (38352363648).

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

21219226752 is a wasteful number, since it uses less digits than its factorization.

21219226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11874 (or 11862 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 21219226752 in words is "twenty-one billion, two hundred nineteen million, two hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 251 304 384 456 502 608 753 912 1004 1216 1506 1824 2008 2432 3012 3648 4016 4769 6024 7296 8032 9538 11587 12048 14307 16064 19076 23174 24096 28614 32128 34761 38152 46348 48192 57228 69522 76304 92696 96384 114456 139044 152608 185392 220153 228912 278088 305216 370784 440306 457824 556176 610432 660459 741568 880612 915648 1112352 1320918 1483136 1761224 1831296 2224704 2641836 2908337 3522448 4449408 5283672 5816674 7044896 8725011 10567344 11633348 14089792 17450022 21134688 23266696 28179584 34900044 42269376 46533392 55258403 69800088 84538752 93066784 110516806 139600176 165775209 186133568 221033612 279200352 331550418 372267136 442067224 558400704 663100836 884134448 1116801408 1326201672 1768268896 2652403344 3536537792 5304806688 7073075584 10609613376 21219226752