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8064423552 = 273171498291
BaseRepresentation
bin1111000001010110…
…10101011010000000
3202211000122011101210
413200223111122000
5113003443023202
63412120330120
7403562316633
oct74053253200
922730564353
108064423552
11346917a859
121690913940
139b69ab673
14567077c1a
15322ec3c6c
hex1e0ad5680

8064423552 has 128 divisors (see below), whose sum is σ = 22836168000. Its totient is φ = 2512732160.

The previous prime is 8064423551. The next prime is 8064423581. The reversal of 8064423552 is 2553244608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 8064423552.

It is not an unprimeable number, because it can be changed into a prime (8064423551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968527 + ... + 976817.

Almost surely, 28064423552 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 8064423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418084000).

8064423552 is an abundant number, since it is smaller than the sum of its proper divisors (14771744448).

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

8064423552 is a wasteful number, since it uses less digits than its factorization.

8064423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 8064423552 is about 89802.1355648071. The cubic root of 8064423552 is about 2005.3542823719.

It can be divided in two parts, 80644 and 23552, that added together give a triangular number (104196 = T456).

The spelling of 8064423552 in words is "eight billion, sixty-four million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 272 298 384 408 447 544 596 816 894 1088 1192 1632 1788 2176 2384 2533 3264 3576 4768 5066 6528 7152 7599 8291 9536 10132 14304 15198 16582 19072 20264 24873 28608 30396 33164 40528 49746 57216 60792 66328 81056 99492 121584 132656 140947 162112 198984 243168 265312 281894 324224 397968 422841 486336 530624 563788 795936 845682 972672 1061248 1127576 1235359 1591872 1691364 2255152 2470718 3183744 3382728 3706077 4510304 4941436 6765456 7412154 9020608 9882872 13530912 14824308 18041216 19765744 21001103 27061824 29648616 39531488 42002206 54123648 59297232 63003309 79062976 84004412 118594464 126006618 158125952 168008824 237188928 252013236 336017648 474377856 504026472 672035296 1008052944 1344070592 2016105888 2688141184 4032211776 8064423552