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5040061024 = 252397227311
BaseRepresentation
bin1001011000110100…
…10011101001100000
3111000020202121221211
410230122103221200
540310223423044
62152041555504
7235616545315
oct45432235140
914006677854
105040061024
112156a8a499
12b87aa5b94
1362424713b
1435b52cd0c
151e771b634
hex12c693a60

5040061024 has 96 divisors (see below), whose sum is σ = 10540647936. Its totient is φ = 2367467520.

The previous prime is 5040060983. The next prime is 5040061051. The reversal of 5040061024 is 4201600405.

It is a junction number, because it is equal to n+sod(n) for n = 5040060986 and 5040061004.

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, 16205829 + ... + 16206139.

It is an arithmetic number, because the mean of its divisors is an integer number (109798416).

Almost surely, 25040061024 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 5040061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270323968).

5040061024 is an abundant number, since it is smaller than the sum of its proper divisors (5500586912).

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

5040061024 is a wasteful number, since it uses less digits than its factorization.

5040061024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5040061024 is about 70993.3871850048. The cubic root of 5040061024 is about 1714.5306962164.

Adding to 5040061024 its reverse (4201600405), we get a palindrome (9241661429).

The spelling of 5040061024 in words is "five billion, forty million, sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 227 311 368 388 454 622 736 776 908 1244 1552 1816 2231 2488 3104 3632 4462 4976 5221 7153 7264 8924 9952 10442 14306 17848 20884 22019 28612 30167 35696 41768 44038 57224 60334 70597 71392 83536 88076 114448 120668 141194 167072 176152 228896 241336 282388 352304 482672 506437 564776 693841 704608 965344 1012874 1129552 1387682 1623731 2025748 2259104 2775364 3247462 4051496 5550728 6494924 6847909 8102992 11101456 12989848 13695818 16205984 22202912 25979696 27391636 51959392 54783272 109566544 157501907 219133088 315003814 630007628 1260015256 2520030512 5040061024