Search a number
-
+
21214036532754 = 23213194771488199
BaseRepresentation
bin1001101001011010001110…
…00111001001111000010010
32210010001010200101100201200
410310231013013021320102
510240032321323022004
6113041332134212030
74316443413210642
oct464550707117022
983101120340650
1021214036532754
116839905634a1a
122467509ab4016
13bab62392bc10
14534a9ca4c522
1526bc5bebe239
hex134b471c9e12

21214036532754 has 48 divisors (see below), whose sum is σ = 52104651144000. Its totient is φ = 6183848704608.

The previous prime is 21214036532753. The next prime is 21214036532783. The reversal of 21214036532754 is 45723563041212.

21214036532754 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 40 + 3 + 6 + 532 + 75 + 4 = 666.

It is a super-2 number, since 2×212140365327542 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21214036532753) 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, 2385739654 + ... + 2385748545.

It is an arithmetic number, because the mean of its divisors is an integer number (1085513565500).

Almost surely, 221214036532754 is an apocalyptic number.

21214036532754 is an abundant number, since it is smaller than the sum of its proper divisors (30890614611246).

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

21214036532754 is a wasteful number, since it uses less digits than its factorization.

21214036532754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771488239 (or 4771488236 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 21214036532754 its reverse (45723563041212), we get a palindrome (66937599573966).

The spelling of 21214036532754 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-two thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 4771488199 9542976398 14314464597 28628929194 42943393791 62029346587 85886787582 90658275781 124058693174 181316551562 186088039761 271974827343 372176079522 543949654686 558264119283 815924482029 1116528238566 1178557585153 1631848964058 2357115170306 3535672755459 7071345510918 10607018266377 21214036532754