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45690647808 = 2831311340499
BaseRepresentation
bin101010100011010111…
…111111010100000000
311100221021000101202010
4222203113333110000
51222033301212213
632553501052520
73205154045511
oct524327772400
9140837011663
1045690647808
11184171a7a63
128a31857140
1344020277a0
1422d6290a08
1512c63b4ac3
hexaa35ff500

45690647808 has 144 divisors (see below), whose sum is σ = 132120072000. Its totient is φ = 13933903872.

The previous prime is 45690647777. The next prime is 45690647809. The reversal of 45690647808 is 80874609654.

45690647808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×456906478082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45690647809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107943 + ... + 1148441.

It is an arithmetic number, because the mean of its divisors is an integer number (917500500).

Almost surely, 245690647808 is an apocalyptic number.

45690647808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45690647808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060036000).

45690647808 is an abundant number, since it is smaller than the sum of its proper divisors (86429424192).

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

45690647808 is a wasteful number, since it uses less digits than its factorization.

45690647808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40644 (or 40630 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 45690647808 in words is "forty-five billion, six hundred ninety million, six hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 128 156 192 208 226 256 312 339 384 416 452 624 678 768 832 904 1248 1356 1469 1664 1808 2496 2712 2938 3328 3616 4407 4992 5424 5876 7232 8814 9984 10848 11752 14464 17628 21696 23504 28928 35256 40499 43392 47008 70512 80998 86784 94016 121497 141024 161996 188032 242994 282048 323992 376064 485988 526487 564096 647984 971976 1052974 1128192 1295968 1579461 1943952 2105948 2591936 3158922 3887904 4211896 4576387 5183872 6317844 7775808 8423792 9152774 10367744 12635688 13729161 15551616 16847584 18305548 25271376 27458322 31103232 33695168 36611096 50542752 54916644 59493031 67390336 73222192 101085504 109833288 118986062 134780672 146444384 178479093 202171008 219666576 237972124 292888768 356958186 404342016 439333152 475944248 585777536 713916372 878666304 951888496 1171555072 1427832744 1757332608 1903776992 2855665488 3514665216 3807553984 5711330976 7615107968 11422661952 15230215936 22845323904 45690647808