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213700988664 = 233317193063023
BaseRepresentation
bin1100011100000110010…
…0100100111011111000
3202102121012010000122000
43013001210210323320
512000124423114124
6242101201501000
721303465301242
oct3070144447370
9672535100560
10213700988664
11826a2700829
1235500041760
13171c89b8267
14a4b39a1092
15585b1e16c9
hex31c1924ef8

213700988664 has 128 divisors (see below), whose sum is σ = 661613184000. Its totient is φ = 63514824192.

The previous prime is 213700988591. The next prime is 213700988671. The reversal of 213700988664 is 466889007312.

It is a super-2 number, since 2×2137009886642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 213700988664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461744 + ... + 1601279.

It is an arithmetic number, because the mean of its divisors is an integer number (5168853000).

Almost surely, 2213700988664 is an apocalyptic number.

213700988664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213700988664 is an abundant number, since it is smaller than the sum of its proper divisors (447912195336).

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

213700988664 is a wasteful number, since it uses less digits than its factorization.

213700988664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063074 (or 3063064 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 213700988664 in words is "two hundred thirteen billion, seven hundred million, nine hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17442 23256 34884 69768 3063023 6126046 9189069 12252092 18378138 24504184 27567207 36756276 52071391 55134414 58197437 73512552 82701621 104142782 110268828 116394874 156214173 165403242 174592311 208285564 220537656 232789748 312428346 330806484 349184622 416571128 465579496 468642519 523776933 624856692 661612968 698369244 937285038 989356429 1047553866 1249713384 1396738488 1405927557 1571330799 1874570076 1978712858 2095107732 2811855114 2968069287 3142661598 3749140152 3957425716 4190215464 5623710228 5936138574 6285323196 7914851432 8904207861 11247420456 11872277148 12570646392 17808415722 23744554296 26712623583 35616831444 53425247166 71233662888 106850494332 213700988664