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44268333264 = 24326719923057
BaseRepresentation
bin101001001110100110…
…010010100011010000
311020021010200022222200
4221032212102203100
51211130143131024
632200412003200
73125003424051
oct511646224320
9136233608880
1044268333264
1117857357aa1
1286b5460500
13423646524c
1421dd410728
1512415b32c9
hexa4e9928d0

44268333264 has 120 divisors (see below), whose sum is σ = 126376286400. Its totient is φ = 14462198784.

The previous prime is 44268333211. The next prime is 44268333311. The reversal of 44268333264 is 46233386244.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908424 + ... + 1931480.

It is an arithmetic number, because the mean of its divisors is an integer number (1053135720).

Almost surely, 244268333264 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 44268333264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63188143200).

44268333264 is an abundant number, since it is smaller than the sum of its proper divisors (82107953136).

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

44268333264 is a wasteful number, since it uses less digits than its factorization.

44268333264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337 (or 23328 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 44268333264 in words is "forty-four billion, two hundred sixty-eight million, three hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 199 201 268 398 402 536 597 603 796 804 1072 1194 1206 1592 1608 1791 2388 2412 3184 3216 3582 4776 4824 7164 9552 9648 13333 14328 23057 26666 28656 39999 46114 53332 69171 79998 92228 106664 119997 138342 159996 184456 207513 213328 239994 276684 319992 368912 415026 479988 553368 639984 830052 959976 1106736 1544819 1660104 1919952 3089638 3320208 4588343 4634457 6179276 9176686 9268914 12358552 13765029 13903371 18353372 18537828 24717104 27530058 27806742 36706744 37075656 41295087 55060116 55613484 73413488 74151312 82590174 110120232 111226968 165180348 220240464 222453936 307418981 330360696 614837962 660721392 922256943 1229675924 1844513886 2459351848 2766770829 3689027772 4918703696 5533541658 7378055544 11067083316 14756111088 22134166632 44268333264