Search a number
-
+
2573277972736 = 2810729372
BaseRepresentation
bin100101011100100011010…
…100011100100100000000
3100010000002011111021022211
4211130203110130210000
5314130033130111421
65250051513311504
7353625140605042
oct45344324344400
910100064437284
102573277972736
1190235936a829
12356875705594
13158874c98a13
148c793bada92
1546e0bdc29e1
hex2572351c900

2573277972736 has 81 divisors (see below), whose sum is σ = 5190496909689. Its totient is φ = 1273254008832.

The previous prime is 2573277972709. The next prime is 2573277972737. The reversal of 2573277972736 is 6372797723752.

The square root of 2573277972736 is 1604144.

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

It can be written as a sum of positive squares in only one way, i.e., 135482886400 + 2437795086336 = 368080^2 + 1561344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573277972737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2746294060 + ... + 2746294996.

Almost surely, 22573277972736 is an apocalyptic number.

2573277972736 is the 1604144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573277972736

2573277972736 is an abundant number, since it is smaller than the sum of its proper divisors (2617218936953).

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

2573277972736 is an frugal number, since it uses more digits than its factorization.

2573277972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1046 counting only the distinct ones).

The product of its digits is 326728080, while the sum is 67.

The spelling of 2573277972736 in words is "two trillion, five hundred seventy-three billion, two hundred seventy-seven million, nine hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 937 1712 1874 3424 3748 6848 7496 11449 13696 14992 22898 27392 29984 45796 59968 91592 100259 119936 183184 200518 239872 366368 401036 732736 802072 877969 1465472 1604144 1755938 2930944 3208288 3511876 6416576 7023752 10727713 12833152 14047504 21455426 25666304 28095008 42910852 56190016 85821704 93942683 112380032 171643408 187885366 224760064 343286816 375770732 686573632 751541464 1373147264 1503082928 2746294528 3006165856 6012331712 10051867081 12024663424 20103734162 24049326848 40207468324 80414936648 160829873296 321659746592 643319493184 1286638986368 2573277972736