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211704004204 = 227112999123917
BaseRepresentation
bin1100010100101010001…
…0101011111001101100
3202020110000102200221121
43011022202223321230
511432032211113304
6241131103310324
721203136226150
oct3051242537154
9666400380847
10211704004204
1181868433850
12350432ab3a4
1316c6b058654
14a36468d060
155790c27554
hex314a8abe6c

211704004204 has 96 divisors (see below), whose sum is σ = 478329384960. Its totient is φ = 79554182400.

The previous prime is 211704004181. The next prime is 211704004249. The reversal of 211704004204 is 402400407112.

211704004204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8839654 + ... + 8863570.

It is an arithmetic number, because the mean of its divisors is an integer number (4982597760).

Almost surely, 2211704004204 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 211704004204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239164692480).

211704004204 is an abundant number, since it is smaller than the sum of its proper divisors (266625380756).

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

211704004204 is a wasteful number, since it uses less digits than its factorization.

211704004204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24959 (or 24957 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 211704004204 in words is "two hundred eleven billion, seven hundred four million, four thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 991 1276 1982 2233 3964 4466 6937 8932 10901 13874 21802 23917 27748 28739 43604 47834 57478 76307 95668 114956 152614 167419 201173 263087 305228 316129 334838 402346 526174 632258 669676 693593 804692 1052348 1264516 1387186 1841609 2212903 2774372 3683218 4425806 4855151 7366436 7629523 8851612 9710302 15259046 19420604 23701747 30518092 47403494 53406661 94806988 106813322 165912229 213626644 260719217 331824458 521438434 663648916 687350663 1042876868 1374701326 1825034519 2749402652 3650069038 4811454641 7300138076 7560857293 9622909282 15121714586 19245818564 30243429172 52926001051 105852002102 211704004204