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5464342632 = 2337293730313
BaseRepresentation
bin1010001011011001…
…10100000001101000
3112002211010100220110
411011230310001220
542142332431012
62302115454320
7252261101040
oct50554640150
915084110813
105464342632
11235452a551
121085bb73a0
1369110a948
1439ba14720
1521eac973c
hex145b34068

5464342632 has 128 divisors (see below), whose sum is σ = 16587820800. Its totient is φ = 1466615808.

The previous prime is 5464342577. The next prime is 5464342679. The reversal of 5464342632 is 2362434645.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 165108 + ... + 195420.

It is an arithmetic number, because the mean of its divisors is an integer number (129592350).

Almost surely, 25464342632 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 5464342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293910400).

5464342632 is an abundant number, since it is smaller than the sum of its proper divisors (11123478168).

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

5464342632 is a wasteful number, since it uses less digits than its factorization.

5464342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30395 (or 30391 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

The square root of 5464342632 is about 73921.1920358431. The cubic root of 5464342632 is about 1761.3512599821.

The spelling of 5464342632 in words is "five billion, four hundred sixty-four million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 518 609 696 777 812 888 1036 1073 1218 1554 1624 2072 2146 2436 3108 3219 4292 4872 6216 6438 7511 8584 12876 15022 22533 25752 30044 30313 45066 60088 60626 90132 90939 121252 180264 181878 212191 242504 363756 424382 636573 727512 848764 879077 1121581 1273146 1697528 1758154 2243162 2546292 2637231 3364743 3516308 4486324 5092584 5274462 6153539 6729486 7032616 7851067 8972648 10548924 12307078 13458972 15702134 18460617 21097848 23553201 24614156 26917944 31404268 32525849 36921234 47106402 49228312 62808536 65051698 73842468 94212804 97577547 130103396 147684936 188425608 195155094 227680943 260206792 390310188 455361886 683042829 780620376 910723772 1366085658 1821447544 2732171316 5464342632