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5845142004 = 223131091731987
BaseRepresentation
bin1010111000110010…
…11100100111110100
3120002100122222102220
411130121130213310
543432324021004
62404001402340
7264563613222
oct53431344764
916070588386
105845142004
11252a480779
1211716393b0
13721c88910
143d641bb12
15243248dd9
hex15c65c9f4

5845142004 has 96 divisors (see below), whose sum is σ = 14915725440. Its totient is φ = 1770812928.

The previous prime is 5845141997. The next prime is 5845142071. The reversal of 5845142004 is 4002415485.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940699 + ... + 2942685.

It is an arithmetic number, because the mean of its divisors is an integer number (155372140).

Almost surely, 25845142004 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 5845142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457862720).

5845142004 is an abundant number, since it is smaller than the sum of its proper divisors (9070583436).

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

5845142004 is a wasteful number, since it uses less digits than its factorization.

5845142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 5845142004 is about 76453.5283947052. The cubic root of 5845142004 is about 1801.3510437048.

Adding to 5845142004 its reverse (4002415485), we get a palindrome (9847557489).

The spelling of 5845142004 in words is "five billion, eight hundred forty-five million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 173 218 327 346 436 519 654 692 1038 1308 1417 1987 2076 2249 2834 3974 4251 4498 5668 5961 6747 7948 8502 8996 11922 13494 17004 18857 23844 25831 26988 37714 51662 56571 75428 77493 103324 113142 154986 216583 226284 245141 309972 343751 433166 490282 649749 687502 735423 866332 980564 1031253 1299498 1375004 1470846 2062506 2598996 2815579 2941692 4125012 4468763 5631158 8446737 8937526 11262316 13406289 16893474 17875052 26812578 33786948 37468859 53625156 74937718 112406577 149875436 224813154 449626308 487095167 974190334 1461285501 1948380668 2922571002 5845142004