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213972784056 = 23332921177901
BaseRepresentation
bin1100011101000111000…
…1011001001110111000
3202110022010112122211000
43013101301121032320
512001204013042211
6242144151205000
721313305440523
oct3072161311670
9673263478730
10213972784056
1182822070719
1235577076760
13172400bc335
14a4dbb11bba
155874ecd656
hex31d1c593b8

213972784056 has 96 divisors (see below), whose sum is σ = 615571585200. Its totient is φ = 68864745600.

The previous prime is 213972784049. The next prime is 213972784087. The reversal of 213972784056 is 650487279312.

It is a happy number.

213972784056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2139727840562 (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 junction number, because it is equal to n+sod(n) for n = 213972783993 and 213972784011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407295 + ... + 770606.

It is a 1-persistent number, because it is pandigital, but 2⋅213972784056 = 427945568112 is not.

Almost surely, 2213972784056 is an apocalyptic number.

It is an amenable number.

213972784056 is an abundant number, since it is smaller than the sum of its proper divisors (401598801144).

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

213972784056 is a wasteful number, since it uses less digits than its factorization.

213972784056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177974 (or 1177935 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 213972784056 in words is "two hundred thirteen billion, nine hundred seventy-two million, seven hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 841 1044 1566 1682 2088 2523 3132 3364 5046 6264 6728 7569 10092 15138 20184 22707 30276 45414 60552 90828 181656 1177901 2355802 3533703 4711604 7067406 9423208 10601109 14134812 21202218 28269624 31803327 34159129 42404436 63606654 68318258 84808872 102477387 127213308 136636516 204954774 254426616 273273032 307432161 409909548 614864322 819819096 922296483 990614741 1229728644 1844592966 1981229482 2459457288 2971844223 3689185932 3962458964 5943688446 7378371864 7924917928 8915532669 11887376892 17831065338 23774753784 26746598007 35662130676 53493196014 71324261352 106986392028 213972784056