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212941639936 = 2815121912
BaseRepresentation
bin1100011001010001001…
…1111001000100000000
3202100122021021010000001
43012110103321010000
511442101024434221
6241453554205344
721245615034454
oct3062423710400
9670567233001
10212941639936
11823430058a3
1235329883854
131710759949c
14a440bb8664
1558146e9391
hex31944f9100

212941639936 has 81 divisors (see below), whose sum is σ = 430136993559. Its totient is φ = 105211968000.

The previous prime is 212941639931. The next prime is 212941639961. The reversal of 212941639936 is 639936149212.

The square root of 212941639936 is 461456.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212941639931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1114877601 + ... + 1114877791.

Almost surely, 2212941639936 is an apocalyptic number.

212941639936 is the 461456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212941639936

212941639936 is an abundant number, since it is smaller than the sum of its proper divisors (217195353623).

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

212941639936 is an frugal number, since it uses more digits than its factorization.

212941639936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 344 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 55.

The spelling of 212941639936 in words is "two hundred twelve billion, nine hundred forty-one million, six hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 151 191 256 302 382 604 764 1208 1528 2416 3056 4832 6112 9664 12224 19328 22801 24448 28841 36481 38656 45602 48896 57682 72962 91204 115364 145924 182408 230728 291848 364816 461456 583696 729632 922912 1167392 1459264 1845824 2334784 2918528 3691648 4354991 4669568 5508631 5837056 7383296 8709982 9339136 11017262 17419964 22034524 34839928 44069048 69679856 88138096 139359712 176276192 278719424 352552384 557438848 705104768 831803281 1114877696 1410209536 1663606562 3327213124 6654426248 13308852496 26617704992 53235409984 106470819968 212941639936