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8061052824 = 23331131110909
BaseRepresentation
bin1111000000111100…
…11110011110011000
3202210210021220122000
413200132132132120
5113002112142244
63411520201000
7403521550506
oct74036363630
922723256560
108061052824
113467288330
12168b769160
139b609b356
1456683b676
15322a5a169
hex1e079e798

8061052824 has 128 divisors (see below), whose sum is σ = 24508224000. Its totient is φ = 2434665600.

The previous prime is 8061052819. The next prime is 8061052829. The reversal of 8061052824 is 4282501608.

It is an interprime number because it is at equal distance from previous prime (8061052819) and next prime (8061052829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8061052829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733482 + ... + 744390.

It is an arithmetic number, because the mean of its divisors is an integer number (191470500).

Almost surely, 28061052824 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 8061052824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254112000).

8061052824 is an abundant number, since it is smaller than the sum of its proper divisors (16447171176).

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

8061052824 is a wasteful number, since it uses less digits than its factorization.

8061052824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8061052824 is about 89783.3660763507. The cubic root of 8061052824 is about 2005.0748474037.

The spelling of 8061052824 in words is "eight billion, sixty-one million, fifty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 311 396 594 622 792 933 1188 1244 1866 2376 2488 2799 3421 3732 5598 6842 7464 8397 10263 10909 11196 13684 16794 20526 21818 22392 27368 30789 32727 33588 41052 43636 61578 65454 67176 82104 87272 92367 98181 119999 123156 130908 184734 196362 239998 246312 261816 294543 359997 369468 392724 479996 589086 719994 738936 785448 959992 1079991 1178172 1439988 2159982 2356344 2879976 3239973 3392699 4319964 6479946 6785398 8639928 10178097 12959892 13570796 20356194 25919784 27141592 30534291 37319689 40712388 61068582 74639378 81424776 91602873 111959067 122137164 149278756 183205746 223918134 244274328 298557512 335877201 366411492 447836268 671754402 732822984 895672536 1007631603 1343508804 2015263206 2687017608 4030526412 8061052824