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213253964532 = 2232743181110867
BaseRepresentation
bin1100011010011011101…
…1010100001011110100
3202101110000221211210200
43012212323110023310
511443221003331112
6241544552320500
721256426535010
oct3064673241364
9671400854720
10213253964532
11824933379a4
12353b63a3130
13171571c0c3b
14a470479540
155831d3ecdc
hex31a6ed42f4

213253964532 has 144 divisors (see below), whose sum is σ = 630800282112. Its totient is φ = 59474399040.

The previous prime is 213253964503. The next prime is 213253964543. The reversal of 213253964532 is 235469352312.

213253964532 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 53 + 9 + 64 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19618563 + ... + 19629429.

Almost surely, 2213253964532 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 213253964532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315400141056).

213253964532 is an abundant number, since it is smaller than the sum of its proper divisors (417546317580).

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

213253964532 is a wasteful number, since it uses less digits than its factorization.

213253964532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12738 (or 12733 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 213253964532 in words is "two hundred thirteen billion, two hundred fifty-three million, nine hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 1811 2709 3612 3622 5418 5433 7244 10836 10866 10867 12677 16299 21732 21734 25354 32598 32601 38031 43468 50708 65196 65202 76062 76069 77873 97803 114093 130404 152124 152138 155746 195606 228186 228207 233619 304276 311492 391212 456372 456414 467238 467281 545111 684621 700857 912828 934476 934562 1090222 1369242 1401714 1401843 1635333 1869124 2180444 2738484 2803428 2803686 3270666 3270967 4205529 4905999 5607372 6541332 6541934 8411058 9811998 9812901 13083868 16822116 19623996 19625802 19680137 29438703 39251604 39360274 58877406 59040411 78720548 117754812 118080822 137760959 177121233 236161644 275521918 354242466 413282877 551043836 708484932 826565754 846245891 1239848631 1653131508 1692491782 2479697262 2538737673 3384983564 4959394524 5077475346 5923721237 7616213019 10154950692 11847442474 15232426038 17771163711 23694884948 30464852076 35542327422 53313491133 71084654844 106626982266 213253964532