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213400673532 = 223217534765213
BaseRepresentation
bin1100011010111110101…
…0111101110011111100
3202101211021000102201100
43012233222331303330
511444021033023112
6242011313013100
721263160540024
oct3065752756374
9671737012640
10213400673532
1182559131602
1235437554190
131717b709bb7
14a485b48a84
15583eb6e2dc
hex31afabdcfc

213400673532 has 72 divisors (see below), whose sum is σ = 571276205136. Its totient is φ = 66935683584.

The previous prime is 213400673531. The next prime is 213400673533. The reversal of 213400673532 is 235376004312.

213400673532 is a `hidden beast` number, since 2 + 13 + 40 + 0 + 6 + 73 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (213400673531) and next prime (213400673533).

It is a super-2 number, since 2×2134006735322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213400673531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239758 + ... + 3304970.

It is an arithmetic number, because the mean of its divisors is an integer number (7934391738).

Almost surely, 2213400673532 is an apocalyptic number.

It is an amenable number.

213400673532 is an abundant number, since it is smaller than the sum of its proper divisors (357875531604).

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

213400673532 is a wasteful number, since it uses less digits than its factorization.

213400673532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70587 (or 70582 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 213400673532 its reverse (235376004312), we get a palindrome (448776677844).

The spelling of 213400673532 in words is "two hundred thirteen billion, four hundred million, six hundred seventy-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5347 10694 16041 21388 32082 48123 64164 65213 90899 96246 130426 181798 192492 195639 260852 272697 363596 391278 545394 586917 782556 818091 1090788 1108621 1173834 1636182 2217242 2347668 3272364 3325863 4434484 6651726 9977589 13303452 19955178 39910356 348693911 697387822 1046081733 1394775644 2092163466 3138245199 4184326932 5927796487 6276490398 11855592974 12552980796 17783389461 23711185948 35566778922 53350168383 71133557844 106700336766 213400673532