Search a number
-
+
24470742640 = 245941325063
BaseRepresentation
bin10110110010100100…
…011110011001110000
32100011102000112012111
4112302210132121300
5400104002231030
615124112535104
71524256611001
oct266244363160
970142015174
1024470742640
11a418107153
1248ab251494
1323cc9a9496
141281d771a8
159834ca62a
hex5b291e670

24470742640 has 40 divisors (see below), whose sum is σ = 56955113568. Its totient is φ = 9777864960.

The previous prime is 24470742629. The next prime is 24470742643. The reversal of 24470742640 is 4624707442.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×244707426402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 24470742593 and 24470742602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24470742643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87252 + ... + 237811.

Almost surely, 224470742640 is an apocalyptic number.

24470742640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24470742640 is an abundant number, since it is smaller than the sum of its proper divisors (32484370928).

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

24470742640 is a wasteful number, since it uses less digits than its factorization.

24470742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326017 (or 326011 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

The spelling of 24470742640 in words is "twenty-four billion, four hundred seventy million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 941 1882 3764 4705 7528 9410 15056 18820 37640 75280 325063 650126 1300252 1625315 2600504 3250630 5201008 6501260 13002520 26005040 305884283 611768566 1223537132 1529421415 2447074264 3058842830 4894148528 6117685660 12235371320 24470742640