Search a number
-
+
21362354400402 = 233820948190907
BaseRepresentation
bin1001101101101110011111…
…00010111010110010010010
32210122012222012121200211000
410312313033202322302102
510300000100211303102
6113233421413002430
74333244025245151
oct466671742726222
983565865550730
1021362354400402
1168967a6164144
122490201323416
13bbc5cc849792
1453bd2cc49598
15270a3d07901c
hex136dcf8bac92

21362354400402 has 32 divisors (see below), whose sum is σ = 47477682561600. Its totient is φ = 7119917216064.

The previous prime is 21362354400397. The next prime is 21362354400419. The reversal of 21362354400402 is 20400445326312.

21362354400402 is a `hidden beast` number, since 2 + 13 + 6 + 235 + 4 + 4 + 0 + 0 + 402 = 666.

It is a super-3 number, since 3×213623544004023 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23652168 + ... + 24538739.

It is an arithmetic number, because the mean of its divisors is an integer number (1483677580050).

Almost surely, 221362354400402 is an apocalyptic number.

21362354400402 is an abundant number, since it is smaller than the sum of its proper divisors (26115328161198).

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

21362354400402 is a wasteful number, since it uses less digits than its factorization.

21362354400402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48199127 (or 48199121 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 21362354400402 its reverse (20400445326312), we get a palindrome (41762799726714).

The spelling of 21362354400402 in words is "twenty-one trillion, three hundred sixty-two billion, three hundred fifty-four million, four hundred thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 8209 16418 24627 49254 73881 147762 221643 443286 48190907 96381814 144572721 289145442 433718163 867436326 1301154489 2602308978 395599155563 791198311126 1186797466689 2373594933378 3560392400067 7120784800134 10681177200201 21362354400402