Search a number
-
+
21373617265040 = 245267170215813
BaseRepresentation
bin1001101110000011011101…
…10111010101100110010000
32210200022001010200111112202
410313001232313111212100
510300141132004440130
6113242523151142332
74334123106103205
oct467015667254620
983608033614482
1021373617265040
1168a0555812037
1224924252149a8
13bc06a606c221
1453c6ba9c3cac
15270e9bc3e145
hex13706edd5990

21373617265040 has 20 divisors (see below), whose sum is σ = 49693660141404. Its totient is φ = 8549446905984.

The previous prime is 21373617265031. The next prime is 21373617265057. The reversal of 21373617265040 is 4056271637312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5015378166016 + 16358239099024 = 2239504^2 + 4044532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133585107827 + ... + 133585107986.

Almost surely, 221373617265040 is an apocalyptic number.

21373617265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21373617265040 is an abundant number, since it is smaller than the sum of its proper divisors (28320042876364).

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

21373617265040 is a wasteful number, since it uses less digits than its factorization.

21373617265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267170215826 (or 267170215820 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 21373617265040 in words is "twenty-one trillion, three hundred seventy-three billion, six hundred seventeen million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 267170215813 534340431626 1068680863252 1335851079065 2137361726504 2671702158130 4274723453008 5343404316260 10686808632520 21373617265040