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213026414436 = 223211769699539
BaseRepresentation
bin1100011001100101011…
…1010001111101100100
3202100212011210002202100
43012121113101331210
511442234230230221
6241510223212100
721250664434443
oct3063127217544
9670764702670
10213026414436
1182386948170
1235352147030
131711c00bb04
14a44c164d5a
15581bd92926
hex31995d1f64

213026414436 has 72 divisors (see below), whose sum is σ = 588201213600. Its totient is φ = 64469422080.

The previous prime is 213026414417. The next prime is 213026414443. The reversal of 213026414436 is 634414620312.

213026414436 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 641 + 4 + 4 + 3 + 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 213026414436.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45246 + ... + 654293.

It is an arithmetic number, because the mean of its divisors is an integer number (8169461300).

Almost surely, 2213026414436 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 213026414436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294100606800).

213026414436 is an abundant number, since it is smaller than the sum of its proper divisors (375174799164).

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

213026414436 is a wasteful number, since it uses less digits than its factorization.

213026414436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700329 (or 700324 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 213026414436 in words is "two hundred thirteen billion, twenty-six million, four hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 769 1538 2307 3076 4614 6921 8459 9228 13842 16918 25377 27684 33836 50754 76131 101508 152262 304524 699539 1399078 2098617 2798156 4197234 6295851 7694929 8394468 12591702 15389858 23084787 25183404 30779716 46169574 69254361 92339148 138508722 277017444 537945491 1075890982 1613836473 2151781964 3227672946 4841509419 5917400401 6455345892 9683018838 11834800802 17752201203 19366037676 23669601604 35504402406 53256603609 71008804812 106513207218 213026414436