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9243083616 = 2531328126357
BaseRepresentation
bin10001001101110111…
…00100001101100000
3212212011111022001020
420212323210031200
5122412212133431
64125103205440
7445023625434
oct104673441540
925764438036
109243083616
113a13530588
12195b5a6880
13b43c40860
146398109c4
153916e6696
hex226ee4360

9243083616 has 96 divisors (see below), whose sum is σ = 26223468768. Its totient is φ = 2833797120.

The previous prime is 9243083587. The next prime is 9243083639. The reversal of 9243083616 is 6163803429.

It is a tau number, because it is divible by the number of its divisors (96).

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, 337510 + ... + 363866.

It is an arithmetic number, because the mean of its divisors is an integer number (273161133).

Almost surely, 29243083616 is an apocalyptic number.

9243083616 is a gapful number since it is divisible by the number (96) 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 9243083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111734384).

9243083616 is an abundant number, since it is smaller than the sum of its proper divisors (16980385152).

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

9243083616 is a wasteful number, since it uses less digits than its factorization.

9243083616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26664 (or 26656 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 9243083616 is about 96140.9570162478. The cubic root of 9243083616 is about 2098.6449017274.

The spelling of 9243083616 in words is "nine billion, two hundred forty-three million, eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 281 312 416 562 624 843 1124 1248 1686 2248 3372 3653 4496 6744 7306 8992 10959 13488 14612 21918 26357 26976 29224 43836 52714 58448 79071 87672 105428 116896 158142 175344 210856 316284 342641 350688 421712 632568 685282 843424 1027923 1265136 1370564 2055846 2530272 2741128 4111692 5482256 7406317 8223384 10964512 14812634 16446768 22218951 29625268 32893536 44437902 59250536 88875804 96282121 118501072 177751608 192564242 237002144 288846363 355503216 385128484 577692726 711006432 770256968 1155385452 1540513936 2310770904 3081027872 4621541808 9243083616