Search a number
-
+
482974709664 = 25331301153899
BaseRepresentation
bin1110000011100111000…
…10010011011110100000
31201011122100010100111210
413001303202103132200
530403113011202124
61005513040110120
746615364203356
oct7016342233640
91634570110453
10482974709664
111769126a5917
127972b305340
133670cb41295
141953a03d7d6
15c86b112a29
hex70738937a0

482974709664 has 96 divisors (see below), whose sum is σ = 1309164595200. Its totient is φ = 155743660800.

The previous prime is 482974709641. The next prime is 482974709669. The reversal of 482974709664 is 466907479284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 482974709595 and 482974709604.

It is not an unprimeable number, because it can be changed into a prime (482974709669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8933787 + ... + 8987685.

It is an arithmetic number, because the mean of its divisors is an integer number (13637131200).

Almost surely, 2482974709664 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 482974709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654582297600).

482974709664 is an abundant number, since it is smaller than the sum of its proper divisors (826189885536).

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

482974709664 is a wasteful number, since it uses less digits than its factorization.

482974709664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56954 (or 56946 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 482974709664 in words is "four hundred eighty-two billion, nine hundred seventy-four million, seven hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3011 6022 9033 12044 18066 24088 36132 48176 53899 72264 93341 96352 107798 144528 161697 186682 215596 280023 289056 323394 373364 431192 560046 646788 746728 862384 1120092 1293576 1493456 1670869 1724768 2240184 2587152 2986912 3341738 4480368 5012607 5174304 6683476 8960736 10025214 13366952 20050428 26733904 40100856 53467808 80201712 160403424 162289889 324579778 486869667 649159556 973739334 1298319112 1947478668 2596638224 3894957336 5030986559 5193276448 7789914672 10061973118 15092959677 15579829344 20123946236 30185919354 40247892472 60371838708 80495784944 120743677416 160991569888 241487354832 482974709664