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46822896128 = 297321312
BaseRepresentation
bin101011100110110111…
…001011001000000000
311110212011112120110002
4223212313023020000
51231343130134003
633302105055132
73245213023151
oct534667131000
9143764476402
1046822896128
1118948338978
1290a8a874a8
1345527898c8
1423a27c5928
1513409baa88
hexae6dcb200

46822896128 has 90 divisors (see below), whose sum is σ = 95583062817. Its totient is φ = 22914478080.

The previous prime is 46822896103. The next prime is 46822896143. The reversal of 46822896128 is 82169822864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46607628544 + 215267584 = 215888^2 + 14672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153008.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 357426623 + ... + 357426753.

Almost surely, 246822896128 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 46822896128

46822896128 is an abundant number, since it is smaller than the sum of its proper divisors (48760166689).

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

46822896128 is an frugal number, since it uses more digits than its factorization.

46822896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 206 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 56.

The spelling of 46822896128 in words is "forty-six billion, eight hundred twenty-two million, eight hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 131 146 256 262 292 512 524 584 1048 1168 2096 2336 4192 4672 5329 8384 9344 9563 10658 16768 17161 18688 19126 21316 33536 34322 37376 38252 42632 67072 68644 76504 85264 137288 153008 170528 274576 306016 341056 549152 612032 682112 698099 1098304 1224064 1252753 1364224 1396198 2196608 2448128 2505506 2728448 2792396 4393216 4896256 5011012 5584792 8786432 10022024 11169584 20044048 22339168 40088096 44678336 80176192 89356672 91450969 160352384 178713344 182901938 320704768 357426688 365803876 641409536 731607752 1463215504 2926431008 5852862016 11705724032 23411448064 46822896128