Search a number
-
+
21467274021504 = 273218634786477
BaseRepresentation
bin1001110000110001111010…
…01111100000101010000000
32211000020210020101200111200
410320120331033200222000
510303204434122142004
6113353532440341200
74343650030306263
oct470307517405200
984006706350450
1021467274021504
116927246597403
1224a8602774800
13bc948065410c
14543043406cda
1527362e13e239
hex13863d3e0a80

21467274021504 has 48 divisors (see below), whose sum is σ = 61774317174570. Its totient is φ = 7155758006784.

The previous prime is 21467274021467. The next prime is 21467274021517. The reversal of 21467274021504 is 40512047276412.

21467274021504 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 72 + 74 + 0 + 2 + 1 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19115713111104 + 2351560910400 = 4372152^2 + 1533480^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21467274021504.

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 5 ways as a sum of consecutive naturals, for example, 9317392087 + ... + 9317394390.

Almost surely, 221467274021504 is an apocalyptic number.

21467274021504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21467274021504 is an abundant number, since it is smaller than the sum of its proper divisors (40307043153066).

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

21467274021504 is a wasteful number, since it uses less digits than its factorization.

21467274021504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18634786497 (or 18634786482 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 21467274021504 in words is "twenty-one trillion, four hundred sixty-seven billion, two hundred seventy-four million, twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18634786477 37269572954 55904359431 74539145908 111808718862 149078291816 167713078293 223617437724 298156583632 335426156586 447234875448 596313167264 670852313172 894469750896 1192626334528 1341704626344 1788939501792 2385252669056 2683409252688 3577879003584 5366818505376 7155758007168 10733637010752 21467274021504