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213976510356 = 223731131627269
BaseRepresentation
bin1100011101000111111…
…1100110111110010100
3202110022101112222100010
43013101333212332110
512001210441312411
6242144403120220
721313352220420
oct3072177467624
9673271488303
10213976510356
1182824186304
1235578373070
1317240ac544b
14a4dc401b80
1558754b77a6
hex31d1fe6f94

213976510356 has 96 divisors (see below), whose sum is σ = 593507819520. Its totient is φ = 58712284800.

The previous prime is 213976510337. The next prime is 213976510379. The reversal of 213976510356 is 653015679312.

213976510356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27490 + ... + 654758.

It is an arithmetic number, because the mean of its divisors is an integer number (6182373120).

Almost surely, 2213976510356 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 213976510356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296753909760).

213976510356 is an abundant number, since it is smaller than the sum of its proper divisors (379531309164).

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

213976510356 is a wasteful number, since it uses less digits than its factorization.

213976510356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627445 (or 627443 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 213976510356 in words is "two hundred thirteen billion, nine hundred seventy-six million, five hundred ten thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 131 186 217 262 372 393 434 524 651 786 868 917 1302 1572 1834 2604 2751 3668 4061 5502 8122 11004 12183 16244 24366 28427 48732 56854 85281 113708 170562 341124 627269 1254538 1881807 2509076 3763614 4390883 7527228 8781766 13172649 17563532 19445339 26345298 38890678 52690596 58336017 77781356 82172239 116672034 136117373 164344478 233344068 246516717 272234746 328688956 408352119 493033434 544469492 575205673 816704238 986066868 1150411346 1633408476 1725617019 2300822692 2547339409 3451234038 5094678818 6902468076 7642018227 10189357636 15284036454 17831375863 30568072908 35662751726 53494127589 71325503452 106988255178 213976510356