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11220664635270 = 2325594794411523
BaseRepresentation
bin1010001101001000001110…
…1110101100111110000110
31110201200111102002121020200
42203102003232230332012
52432314410121312040
635510411400311330
72235444346504356
oct243220356547606
943650442077220
1011220664635270
113636725734482
121312781a72546
13635147a2745c
142ab123d0cb66
15146d1ddd3630
hexa3483bacf86

11220664635270 has 96 divisors (see below), whose sum is σ = 29730142540800. Its totient is φ = 2935320862272.

The previous prime is 11220664635263. The next prime is 11220664635277. The reversal of 11220664635270 is 7253646602211.

11220664635270 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 6 + 6 + 4 + 635 + 2 + 7 + 0 = 666.

11220664635270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220664635263) and next prime (11220664635277).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220664635277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337729 + ... + 4749251.

It is an arithmetic number, because the mean of its divisors is an integer number (309688984800).

Almost surely, 211220664635270 is an apocalyptic number.

11220664635270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220664635270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865071270400).

11220664635270 is an abundant number, since it is smaller than the sum of its proper divisors (18509477905530).

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

11220664635270 is a wasteful number, since it uses less digits than its factorization.

11220664635270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412074 (or 4412071 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 11220664635270 in words is "eleven trillion, two hundred twenty billion, six hundred sixty-four million, six hundred thirty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 479 531 590 885 958 1062 1437 1770 2395 2655 2874 4311 4790 5310 7185 8622 14370 21555 28261 43110 56522 84783 141305 169566 254349 282610 423915 508698 847830 1271745 2543490 4411523 8823046 13234569 22057615 26469138 39703707 44115230 66172845 79407414 132345690 198518535 260279857 397037070 520559714 780839571 1301399285 1561679142 2113119517 2342518713 2602798570 3904197855 4226239034 4685037426 6339358551 7808395710 10565597585 11712593565 12678717102 19018075653 21131195170 23425187130 31696792755 38036151306 63393585510 95090378265 124674051503 190180756530 249348103006 374022154509 623370257515 748044309018 1122066463527 1246740515030 1870110772545 2244132927054 3740221545090 5610332317635 11220664635270