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5642105504 = 257239105389
BaseRepresentation
bin1010100000100101…
…11011001010100000
3112120012121122201112
411100102323022200
543023334334004
62331505522452
7256550051120
oct52022731240
915505548645
105642105504
112435904412
121115643428
136bbbaa489
143b7488c80
152304dee6e
hex1504bb2a0

5642105504 has 48 divisors (see below), whose sum is σ = 12747974400. Its totient is φ = 2407905024.

The previous prime is 5642105501. The next prime is 5642105509. The reversal of 5642105504 is 4055012465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5642105501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842 + ... + 106230.

It is an arithmetic number, because the mean of its divisors is an integer number (265582800).

Almost surely, 25642105504 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 5642105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373987200).

5642105504 is an abundant number, since it is smaller than the sum of its proper divisors (7105868896).

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

5642105504 is a wasteful number, since it uses less digits than its factorization.

5642105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105645 (or 105637 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 5642105504 is about 75113.9501291205. The cubic root of 5642105504 is about 1780.2475672998.

Adding to 5642105504 its reverse (4055012465), we get a palindrome (9697117969).

The spelling of 5642105504 in words is "five billion, six hundred forty-two million, one hundred five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 3346 3824 6692 7648 13384 26768 53536 105389 210778 421556 737723 843112 1475446 1686224 2950892 3372448 5901784 11803568 23607136 25187971 50375942 100751884 176315797 201503768 352631594 403007536 705263188 806015072 1410526376 2821052752 5642105504