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45955454896 = 24132333113049
BaseRepresentation
bin101010110011001010…
…001001011110110000
311101121201021222210001
4222303022021132300
51223104044024041
633040040515344
73214550631031
oct526312113660
9141551258701
1045955454896
111854272449a
128aa647bb54
134444b52a80
14231d502a88
1512de771131
hexab32897b0

45955454896 has 80 divisors (see below), whose sum is σ = 96640689600. Its totient is φ = 21044367360.

The previous prime is 45955454861. The next prime is 45955454903. The reversal of 45955454896 is 69845455954.

It is a super-2 number, since 2×459554548962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15070780 + ... + 15073828.

It is an arithmetic number, because the mean of its divisors is an integer number (1208008620).

Almost surely, 245955454896 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 45955454896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48320344800).

45955454896 is an abundant number, since it is smaller than the sum of its proper divisors (50685234704).

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

45955454896 is a wasteful number, since it uses less digits than its factorization.

45955454896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 64.

The spelling of 45955454896 in words is "forty-five billion, nine hundred fifty-five million, four hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 311 466 622 932 1244 1864 2488 3029 3049 3728 4043 4976 6058 6098 8086 12116 12196 16172 24232 24392 32344 39637 48464 48784 64688 72463 79274 144926 158548 289852 317096 579704 634192 710417 942019 948239 1159408 1420834 1884038 1896478 2841668 3768076 3792956 5683336 7536152 7585912 9235421 11366672 12327107 15072304 15171824 18470842 24654214 36941684 49308428 73883368 98616856 147766736 197233712 220939687 441879374 883758748 1767517496 2872215931 3535034992 5744431862 11488863724 22977727448 45955454896