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45732557312 = 291327272
BaseRepresentation
bin101010100101110111…
…110111001000000000
311101001011212121202222
4222211313313020000
51222130013313222
633001555230212
73206203215611
oct524567671000
9141034777688
1045732557312
1118438922212
128a438a8368
13440a90c500
1422dba7dc08
1512c9de2542
hexaa5df7200

45732557312 has 90 divisors (see below), whose sum is σ = 99081673713. Its totient is φ = 21078300672.

The previous prime is 45732557309. The next prime is 45732557359. The reversal of 45732557312 is 21375523754.

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 39102689536 + 6629867776 = 197744^2 + 81424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151216.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 62905493 + ... + 62906219.

Almost surely, 245732557312 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 45732557312

45732557312 is an abundant number, since it is smaller than the sum of its proper divisors (53349116401).

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

45732557312 is an frugal number, since it uses more digits than its factorization.

45732557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 742 counting only the distinct ones).

The product of its digits is 882000, while the sum is 44.

The spelling of 45732557312 in words is "forty-five billion, seven hundred thirty-two million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 727 832 1352 1454 1664 2704 2908 3328 5408 5816 6656 9451 10816 11632 18902 21632 23264 37804 43264 46528 75608 86528 93056 122863 151216 186112 245726 302432 372224 491452 528529 604864 982904 1057058 1209728 1965808 2114116 2419456 3931616 4228232 4838912 6870877 7863232 8456464 13741754 15726464 16912928 27483508 31452928 33825856 54967016 62905856 67651712 89321401 109934032 135303424 178642802 219868064 270606848 357285604 439736128 714571208 879472256 1429142416 1758944512 2858284832 3517889024 5716569664 11433139328 22866278656 45732557312