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213027801732 = 223231435997411
BaseRepresentation
bin1100011001100101110…
…0100100101010000100
3202100212021101120202200
43012121130210222010
511442240104123412
6241510313034500
721251012303154
oct3063134445204
9670767346680
10213027801732
1182387705499
12353526b5a30
131711c3a63b5
14a44c406764
15581c0689dc
hex3199724a84

213027801732 has 144 divisors (see below), whose sum is σ = 569810841600. Its totient is φ = 66999441600.

The previous prime is 213027801709. The next prime is 213027801769. The reversal of 213027801732 is 237108720312.

213027801732 is a `hidden beast` number, since 213 + 0 + 278 + 0 + 173 + 2 = 666.

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

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, 28741107 + ... + 28748517.

Almost surely, 2213027801732 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 213027801732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284905420800).

213027801732 is an abundant number, since it is smaller than the sum of its proper divisors (356783039868).

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

213027801732 is a wasteful number, since it uses less digits than its factorization.

213027801732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 213027801732 in words is "two hundred thirteen billion, twenty-seven million, eight hundred one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 599 774 1116 1198 1333 1548 1797 2396 2666 3594 3999 5332 5391 7188 7411 7998 10782 11997 14822 15996 18569 21564 22233 23994 25757 29644 37138 44466 47988 51514 55707 66699 74276 77271 88932 103028 111414 133398 154542 167121 222828 229741 231813 266796 309084 318673 334242 459482 463626 637346 668484 689223 798467 918964 927252 956019 1274692 1378446 1596934 1912038 2067669 2395401 2756892 2868057 3193868 3824076 4135338 4439189 4790802 5736114 7186203 8270676 8878378 9581604 9878863 11472228 13317567 14372406 17756756 19757726 26635134 28744812 29636589 39515452 39952701 53270268 59273178 79905402 88909767 118546356 137614859 159810804 177819534 190885127 275229718 355639068 381770254 412844577 550459436 572655381 763540508 825689154 1145310762 1238533731 1651378308 1717966143 2290621524 2477067462 3435932286 4954134924 5917438937 6871864572 11834877874 17752316811 23669755748 35504633622 53256950433 71009267244 106513900866 213027801732