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5141760640 = 27561912979
BaseRepresentation
bin1001100100111100…
…10000101010000000
3111021100010111121021
410302132100222000
541012242320030
62210113435224
7241263146542
oct46236205200
914240114537
105141760640
1121a9431965
12bb5b6bb14
1363c334423
1436ac43692
1520160997a
hex132790a80

5141760640 has 64 divisors (see below), whose sum is σ = 12312828000. Its totient is φ = 2053223424.

The previous prime is 5141760623. The next prime is 5141760641. The reversal of 5141760640 is 460671415.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5141760596 and 5141760605.

It is not an unprimeable number, because it can be changed into a prime (5141760641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389671 + ... + 402649.

Almost surely, 25141760640 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 5141760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156414000).

5141760640 is an abundant number, since it is smaller than the sum of its proper divisors (7171067360).

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

5141760640 is a wasteful number, since it uses less digits than its factorization.

5141760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 5141760640 is about 71706.0711516117. The cubic root of 5141760640 is about 1725.9860653655.

The spelling of 5141760640 in words is "five billion, one hundred forty-one million, seven hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 619 640 1238 2476 3095 4952 6190 9904 12380 12979 19808 24760 25958 39616 49520 51916 64895 79232 99040 103832 129790 198080 207664 259580 396160 415328 519160 830656 1038320 1661312 2076640 4153280 8034001 8306560 16068002 32136004 40170005 64272008 80340010 128544016 160680020 257088032 321360040 514176064 642720080 1028352128 1285440160 2570880320 5141760640