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10212213648 = 2437139772393
BaseRepresentation
bin10011000001011001…
…00000001110010000
3222100201002012112010
421200230200032100
5131403311314043
64405203102520
7511032245430
oct114054401620
928321065463
1010212213648
11437058a29a
121b90071a40
13c6995ca90
146cc4042c0
153eb82b133
hex260b20390

10212213648 has 160 divisors (see below), whose sum is σ = 32516418816. Its totient is φ = 2689449984.

The previous prime is 10212213631. The next prime is 10212213691. The reversal of 10212213648 is 84631221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4266340 + ... + 4268732.

Almost surely, 210212213648 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 10212213648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258209408).

10212213648 is an abundant number, since it is smaller than the sum of its proper divisors (22304205168).

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

10212213648 is a wasteful number, since it uses less digits than its factorization.

10212213648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 10212213648 its reverse (84631221201), we get a palindrome (94843434849).

The spelling of 10212213648 in words is "ten billion, two hundred twelve million, two hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 977 1092 1456 1954 2184 2393 2931 3908 4368 4786 5862 6839 7179 7816 9572 11724 12701 13678 14358 15632 16751 19144 20517 23448 25402 27356 28716 31109 33502 38103 38288 41034 46896 50253 50804 54712 57432 62218 67004 76206 82068 88907 93327 100506 101608 109424 114864 124436 134008 152412 164136 177814 186654 201012 203216 217763 248872 266721 268016 304824 328272 355628 373308 402024 435526 497744 533442 609648 653289 711256 746616 804048 871052 1066884 1306578 1422512 1493232 1742104 2133768 2337961 2613156 3484208 4267536 4675922 5226312 7013883 9351844 10452624 14027766 16365727 18703688 28055532 30393493 32731454 37407376 49097181 56111064 60786986 65462908 91180479 98194362 112222128 121573972 130925816 182360958 196388724 212754451 243147944 261851632 364721916 392777448 425508902 486295888 638263353 729443832 785554896 851017804 1276526706 1458887664 1702035608 2553053412 3404071216 5106106824 10212213648