Search a number
-
+
2073976144 = 244147137491
BaseRepresentation
bin111101110011110…
…0101110101010000
312100112112220102021
41323213211311100
513221414214034
6541444301224
7102252335452
oct17347456520
95315486367
102073976144
11974783a79
1249a6a1814
132708a8926
141596342d2
15c21266b4
hex7b9e5d50

2073976144 has 80 divisors (see below), whose sum is σ = 4243228416. Its totient is φ = 980940800.

The previous prime is 2073976111. The next prime is 2073976153. The reversal of 2073976144 is 4416793702.

It is a super-2 number, since 2×20739761442 = 8602754091762217472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2073976144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4223739 + ... + 4224229.

Almost surely, 22073976144 is an apocalyptic number.

It is an amenable number.

2073976144 is an abundant number, since it is smaller than the sum of its proper divisors (2169252272).

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

2073976144 is a wasteful number, since it uses less digits than its factorization.

2073976144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 2073976144 is about 45540.9282294509. The cubic root of 2073976144 is about 1275.2673834201.

The spelling of 2073976144 in words is "two billion, seventy-three million, nine hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 47 82 94 137 164 188 274 328 376 491 548 656 752 982 1096 1927 1964 2192 3854 3928 5617 6439 7708 7856 11234 12878 15416 20131 22468 23077 25756 30832 40262 44936 46154 51512 67267 80524 89872 92308 103024 134534 161048 184616 263999 269068 322096 369232 527998 538136 946157 1055996 1076272 1892314 2111992 2757947 3161549 3784628 4223984 5515894 6323098 7569256 11031788 12646196 15138512 22063576 25292392 44127152 50584784 129623509 259247018 518494036 1036988072 2073976144