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70024273641 = 3272126012
BaseRepresentation
bin100000100110111000…
…1011001111011101001
320200202010000200001100
41001031301121323221
52121402203224031
652100235112013
75026160335200
oct1011561317351
9220663020040
1070024273641
1127773971233
12116a2ba2609
1367ac49605a
143563d34237
151c4c807de6
hex104dc59ee9

70024273641 has 27 divisors (see below), whose sum is σ = 117669172023. Its totient is φ = 40010695200.

The previous prime is 70024273621. The next prime is 70024273663. The reversal of 70024273641 is 14637242007.

The square root of 70024273641 is 264621.

It is a perfect power (a square), and thus also a powerful number.

70024273641 is a `hidden beast` number, since 7 + 0 + 0 + 2 + 4 + 2 + 7 + 3 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24142633641 + 45881640000 = 155379^2 + 214200^2 .

It is not a de Polignac number, because 70024273641 - 215 = 70024240873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 70024273596 and 70024273605.

It is not an unprimeable number, because it can be changed into a prime (70024273621) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5550741 + ... + 5563341.

Almost surely, 270024273641 is an apocalyptic number.

70024273641 is the 264621-st square number.

70024273641 is the 132311-st centered octagonal number.

It is an amenable number.

70024273641 is a deficient number, since it is larger than the sum of its proper divisors (47644898382).

70024273641 is an frugal number, since it uses more digits than its factorization.

70024273641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25222 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Multiplying 70024273641 by its sum of digits (36), we get a square (2520873851076 = 15877262).

The spelling of 70024273641 in words is "seventy billion, twenty-four million, two hundred seventy-three thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 12601 37803 88207 113409 264621 617449 793863 1852347 5557041 158785201 476355603 1111496407 1429066809 3334489221 7780474849 10003467663 23341424547 70024273641