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6450370136 = 2373137233431
BaseRepresentation
bin1100000000111100…
…01101011001011000
3121122112111202100122
412000132031121120
5101202243321021
62544021452412
7315563145560
oct60036153130
917575452318
106450370136
11281007a611
121300271108
137ba495082
14452965da0
1527b44abab
hex18078d658

6450370136 has 128 divisors (see below), whose sum is σ = 14750760960. Its totient is φ = 2585779200.

The previous prime is 6450370109. The next prime is 6450370139. The reversal of 6450370136 is 6310730546.

It is a junction number, because it is equal to n+sod(n) for n = 6450370096 and 6450370105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450370139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14965841 + ... + 14966271.

It is an arithmetic number, because the mean of its divisors is an integer number (115240320).

Almost surely, 26450370136 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 6450370136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375380480).

6450370136 is an abundant number, since it is smaller than the sum of its proper divisors (8300390824).

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

6450370136 is a wasteful number, since it uses less digits than its factorization.

6450370136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 6450370136 is about 80314.1963540693. The cubic root of 6450370136 is about 1861.4935912361.

The spelling of 6450370136 in words is "six billion, four hundred fifty million, three hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 233 248 259 296 431 434 466 518 862 868 932 1036 1147 1631 1724 1736 1864 2072 2294 3017 3262 3448 4588 6034 6524 7223 8029 8621 9176 12068 13048 13361 14446 15947 16058 17242 24136 26722 28892 31894 32116 34484 50561 53444 57784 60347 63788 64232 68968 93527 100423 101122 106888 111629 120694 127576 187054 200846 202244 223258 241388 267251 374108 401692 404488 446516 482776 494357 534502 702961 748216 803384 893032 988714 1069004 1405922 1870757 1977428 2138008 2811844 3113113 3460499 3715651 3741514 3954856 5623688 6226226 6920998 7431302 7483028 12452452 13841996 14862604 14966056 21791791 24904904 26009557 27683992 29725208 43583582 52019114 87167164 104038228 115185181 174334328 208076456 230370362 460740724 806296267 921481448 1612592534 3225185068 6450370136