Search a number
-
+
2070150048 = 253688741
BaseRepresentation
bin111101101100011…
…1111101110100000
312100021100112000000
41323120333232200
513214424300143
6541230300000
7102204661611
oct17330775640
95307315000
102070150048
1197260040a
12499357600
1326cb69275
14158d19c08
15c1b1cbd3
hex7b63fba0

2070150048 has 84 divisors (see below), whose sum is σ = 6110685378. Its totient is φ = 690042240.

The previous prime is 2070150031. The next prime is 2070150067. The reversal of 2070150048 is 8400510702.

It can be written as a sum of positive squares in only one way, i.e., 1951165584 + 118984464 = 44172^2 + 10908^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 21043 + ... + 67698.

Almost surely, 22070150048 is an apocalyptic number.

It is an amenable number.

2070150048 is an abundant number, since it is smaller than the sum of its proper divisors (4040535330).

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

2070150048 is an frugal number, since it uses more digits than its factorization.

2070150048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88769 (or 88746 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2070150048 is about 45498.9016131159. The cubic root of 2070150048 is about 1274.4826911775.

The spelling of 2070150048 in words is "two billion, seventy million, one hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 88741 177482 266223 354964 532446 709928 798669 1064892 1419856 1597338 2129784 2396007 2839712 3194676 4259568 4792014 6389352 7188021 8519136 9584028 12778704 14376042 19168056 21564063 25557408 28752084 38336112 43128126 57504168 64692189 76672224 86256252 115008336 129384378 172512504 230016672 258768756 345025008 517537512 690050016 1035075024 2070150048