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212527078608 = 2431329109107747
BaseRepresentation
bin1100010111101110011…
…0011101110011010000
3202022120101012012202210
43011323212131303100
511440223413003413
6241344504512120
721232422235035
oct3057346356320
9668511165683
10212527078608
118214aaa4829
1235232a7b640
131706c72a120
14a401b0338c
1557dd10b3c3
hex317b99dcd0

212527078608 has 160 divisors (see below), whose sum is σ = 617266742400. Its totient is φ = 62558189568.

The previous prime is 212527078607. The next prime is 212527078649. The reversal of 212527078608 is 806870725212.

It is a super-2 number, since 2×2125270786082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212527078607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918591 + ... + 2026337.

It is an arithmetic number, because the mean of its divisors is an integer number (3857917140).

Almost surely, 2212527078608 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 212527078608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308633371200).

212527078608 is an abundant number, since it is smaller than the sum of its proper divisors (404739663792).

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

212527078608 is a wasteful number, since it uses less digits than its factorization.

212527078608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107909 (or 107903 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 212527078608 in words is "two hundred twelve billion, five hundred twenty-seven million, seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 109 116 156 174 208 218 232 312 327 348 377 436 464 624 654 696 754 872 1131 1308 1392 1417 1508 1744 2262 2616 2834 3016 3161 4251 4524 5232 5668 6032 6322 8502 9048 9483 11336 12644 17004 18096 18966 22672 25288 34008 37932 41093 50576 68016 75864 82186 107747 123279 151728 164372 215494 246558 323241 328744 430988 493116 646482 657488 861976 986232 1292964 1400711 1723952 1972464 2585928 2801422 3124663 4202133 5171856 5602844 6249326 8404266 9373989 11205688 11744423 12498652 16808532 18747978 22411376 23488846 24997304 33617064 35233269 37495956 40620619 46977692 49994608 67234128 70466538 74991912 81241238 93955384 121861857 140933076 149983824 152677499 162482476 187910768 243723714 281866152 305354998 324964952 340588267 458032497 487447428 563732304 610709996 649929904 681176534 916064994 974894856 1021764801 1221419992 1362353068 1832129988 1949789712 2043529602 2442839984 2724706136 3664259976 4087059204 4427647471 5449412272 7328519952 8174118408 8855294942 13282942413 16348236816 17710589884 26565884826 35421179768 53131769652 70842359536 106263539304 212527078608