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2660461024 = 2513371271361
BaseRepresentation
bin1001111010010011…
…0110100111100000
320212102010102102111
42132210312213200
520422034223044
61115554525104
7122633355064
oct23644664740
96772112374
102660461024
111145840821
12622b96794
133352519c0
141b349daa4
15108874b34
hex9e9369e0

2660461024 has 96 divisors (see below), whose sum is σ = 5843045376. Its totient is φ = 1184440320.

The previous prime is 2660461021. The next prime is 2660461043. The reversal of 2660461024 is 4201640662.

2660461024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660461021) 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, 1954104 + ... + 1955464.

It is an arithmetic number, because the mean of its divisors is an integer number (60865056).

Almost surely, 22660461024 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 2660461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921522688).

2660461024 is an abundant number, since it is smaller than the sum of its proper divisors (3182584352).

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

2660461024 is a wasteful number, since it uses less digits than its factorization.

2660461024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2660461024 is about 51579.6570752462. The cubic root of 2660461024 is about 1385.6460251270.

The spelling of 2660461024 in words is "two billion, six hundred sixty million, four hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 127 148 208 254 296 416 481 508 592 962 1016 1184 1361 1651 1924 2032 2722 3302 3848 4064 4699 5444 6604 7696 9398 10888 13208 15392 17693 18796 21776 26416 35386 37592 43552 50357 52832 61087 70772 75184 100714 122174 141544 150368 172847 201428 244348 283088 345694 402856 488696 566176 654641 691388 805712 977392 1309282 1382776 1611424 1954784 2247011 2618564 2765552 4494022 5237128 5531104 6395339 8988044 10474256 12790678 17976088 20948512 25581356 35952176 51162712 71904352 83139407 102325424 166278814 204650848 332557628 665115256 1330230512 2660461024