Search a number
-
+
45034330264 = 23711292724977
BaseRepresentation
bin101001111100010000…
…010101100010011000
311022020112001000022221
4221330100111202120
51214212242032024
632404413553424
73152664330340
oct517420254230
9138215030287
1045034330264
111810a783970
128889aa5874
134329071101
142273047d20
1512889703e4
hexa7c415898

45034330264 has 64 divisors (see below), whose sum is σ = 105315240960. Its totient is φ = 17539146240.

The previous prime is 45034330207. The next prime is 45034330273. The reversal of 45034330264 is 46203343054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790544 + ... + 1815520.

It is an arithmetic number, because the mean of its divisors is an integer number (1645550640).

Almost surely, 245034330264 is an apocalyptic number.

45034330264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45034330264 is an abundant number, since it is smaller than the sum of its proper divisors (60280910696).

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

45034330264 is a wasteful number, since it uses less digits than its factorization.

45034330264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27928 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 45034330264 in words is "forty-five billion, thirty-four million, three hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 2927 5854 11708 20489 23416 24977 32197 40978 49954 64394 81956 99908 128788 163912 174839 199816 225379 257576 274747 349678 450758 549494 699356 901516 1098988 1398712 1803032 1923229 2197976 3846458 7692916 15385832 73107679 146215358 292430716 511753753 584861432 804184469 1023507506 1608368938 2047015012 3216737876 4094030024 5629291283 6433475752 11258582566 22517165132 45034330264