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8493997824 = 28331394529
BaseRepresentation
bin1111110100100100…
…00001111100000000
3210220221221210112000
413322102001330000
5114343430412244
63522503504000
7420326535024
oct77222017400
923827853460
108493997824
113669705314
121790758000
13a549a6220
145a813a384
1534aa7a169
hex1fa481f00

8493997824 has 144 divisors (see below), whose sum is σ = 27050704800. Its totient is φ = 2613510144.

The previous prime is 8493997781. The next prime is 8493997843. The reversal of 8493997824 is 4287993948.

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

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, 42592 + ... + 137120.

Almost surely, 28493997824 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 8493997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525352400).

8493997824 is an abundant number, since it is smaller than the sum of its proper divisors (18556706976).

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

8493997824 is a wasteful number, since it uses less digits than its factorization.

8493997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94567 (or 94547 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 8493997824 is about 92162.8874547667. The cubic root of 8493997824 is about 2040.3470689768.

The spelling of 8493997824 in words is "eight billion, four hundred ninety-three million, nine hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 94529 189058 283587 378116 567174 756232 850761 1134348 1228877 1512464 1701522 2268696 2457754 2552283 3024928 3403044 3686631 4537392 4915508 5104566 6049856 6806088 7373262 9074784 9831016 10209132 11059893 12099712 13612176 14746524 18149568 19662032 20418264 22119786 24199424 27224352 29493048 33179679 36299136 39324064 40836528 44239572 54448704 58986096 66359358 72598272 78648128 81673056 88479144 108897408 117972192 132718716 157296256 163346112 176958288 217794816 235944384 265437432 314592512 326692224 353916576 471888768 530874864 653384448 707833152 943777536 1061749728 1415666304 2123499456 2831332608 4246998912 8493997824