Search a number
-
+
485970894942624 = 253472132192591063
BaseRepresentation
bin110111001111111001110101…
…0100100000111000110100000
32100201200100211020100120210000
41232133303222210013012200
51002144121343101130444
64441323540324140000
7204235144544501400
oct15637635244070640
92321610736316700
10485970894942624
1113093310aa61863
12466084b9537600
1317b21b218c0400
14880118c784800
153b2b341754469
hex1b9fcea9071a0

485970894942624 has 3240 divisors, whose sum is σ = 1934059003319520. Its totient is φ = 119252158212096.

The previous prime is 485970894942593. The next prime is 485970894942697. The reversal of 485970894942624 is 426249498079584.

485970894942624 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 7 + 0 + 89 + 494 + 26 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 457169232717 + ... + 457169233779.

It is an arithmetic number, because the mean of its divisors is an integer number (596931791148).

Almost surely, 2485970894942624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485970894942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967029501659760).

485970894942624 is an abundant number, since it is smaller than the sum of its proper divisors (1448088108376896).

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

485970894942624 is a wasteful number, since it uses less digits than its factorization.

485970894942624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

The spelling of 485970894942624 in words is "four hundred eighty-five trillion, nine hundred seventy billion, eight hundred ninety-four million, nine hundred forty-two thousand, six hundred twenty-four".