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212075341056 = 2832163564703
BaseRepresentation
bin1100010110000010101…
…1001110010100000000
3202021101220011120100100
43011200223032110000
511433312241403211
6241232010322400
721215265440655
oct3054053162400
9667356146310
10212075341056
1181a39001707
1235127729400
1316cc9c725b7
14a39bb11c2c
1557b3628156
hex3160ace500

212075341056 has 108 divisors (see below), whose sum is σ = 615217902208. Its totient is φ = 70257964032.

The previous prime is 212075341043. The next prime is 212075341057. The reversal of 212075341056 is 650143570212.

212075341056 is a `hidden beast` number, since 2 + 12 + 0 + 7 + 534 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212075341056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212075341057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93201 + ... + 657903.

Almost surely, 2212075341056 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 212075341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307608951104).

212075341056 is an abundant number, since it is smaller than the sum of its proper divisors (403142561152).

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

212075341056 is a wasteful number, since it uses less digits than its factorization.

212075341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564888 (or 564871 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 212075341056 in words is "two hundred twelve billion, seventy-five million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 576 652 768 978 1152 1304 1467 1956 2304 2608 2934 3912 5216 5868 7824 10432 11736 15648 20864 23472 31296 41728 46944 62592 93888 125184 187776 375552 564703 1129406 1694109 2258812 3388218 4517624 5082327 6776436 9035248 10164654 13552872 18070496 20329308 27105744 36140992 40658616 54211488 72281984 81317232 92046589 108422976 144563968 162634464 184093178 216845952 276139767 325268928 368186356 433691904 552279534 650537856 736372712 828419301 1104559068 1301075712 1472745424 1656838602 2209118136 2945490848 3313677204 4418236272 5890981696 6627354408 8836472544 11781963392 13254708816 17672945088 23563926784 26509417632 35345890176 53018835264 70691780352 106037670528 212075341056