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43252894368 = 25321779111827
BaseRepresentation
bin101000010010000100…
…101100101010100000
311010122100221200200200
4220102010230222200
51202040220104433
631511535345200
73060563351565
oct502204545240
9133570850620
1043252894368
11173861497a2
128471382200
134103c80a28
14214460486c
1511d2382613
hexa1212caa0

43252894368 has 144 divisors (see below), whose sum is σ = 131885470080. Its totient is φ = 13397649408.

The previous prime is 43252894343. The next prime is 43252894387. The reversal of 43252894368 is 86349825234.

43252894368 is a `hidden beast` number, since 4 + 325 + 289 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×432528943682 (a number of 22 digits) contains 22 as substring.

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, 330871 + ... + 442697.

It is an arithmetic number, because the mean of its divisors is an integer number (915871320).

Almost surely, 243252894368 is an apocalyptic number.

43252894368 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 43252894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65942735040).

43252894368 is an abundant number, since it is smaller than the sum of its proper divisors (88632575712).

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

43252894368 is a wasteful number, since it uses less digits than its factorization.

43252894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111939 (or 111928 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 43252894368 in words is "forty-three billion, two hundred fifty-two million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 79 96 102 136 144 153 158 204 237 272 288 306 316 408 474 544 612 632 711 816 948 1224 1264 1343 1422 1632 1896 2448 2528 2686 2844 3792 4029 4896 5372 5688 7584 8058 10744 11376 12087 16116 21488 22752 24174 32232 42976 48348 64464 96696 111827 128928 193392 223654 335481 386784 447308 670962 894616 1006443 1341924 1789232 1901059 2012886 2683848 3578464 3802118 4025772 5367696 5703177 7604236 8051544 8834333 10735392 11406354 15208472 16103088 17109531 17668666 22812708 26502999 30416944 32206176 34219062 35337332 45625416 53005998 60833888 68438124 70674664 79508997 91250832 106011996 136876248 141349328 150183661 159017994 182501664 212023992 273752496 282698656 300367322 318035988 424047984 450550983 547504992 600734644 636071976 848095968 901101966 1201469288 1272143952 1351652949 1802203932 2402938576 2544287904 2703305898 3604407864 4805877152 5406611796 7208815728 10813223592 14417631456 21626447184 43252894368