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6605031072 = 253234763647
BaseRepresentation
bin1100010011011000…
…01100011010100000
3122001022112100021110
412021230030122200
5102011341443242
63011224423320
7322451560233
oct61154143240
918038470243
106605031072
11288a405672
121344017b40
13813536613
1446930541a
15289ceb39c
hex189b0c6a0

6605031072 has 96 divisors (see below), whose sum is σ = 18477268992. Its totient is φ = 2061112064.

The previous prime is 6605031071. The next prime is 6605031107. The reversal of 6605031072 is 2701305066.

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

It is not an unprimeable number, because it can be changed into a prime (6605031071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71953 + ... + 135599.

It is an arithmetic number, because the mean of its divisors is an integer number (192471552).

Almost surely, 26605031072 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 6605031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238634496).

6605031072 is an abundant number, since it is smaller than the sum of its proper divisors (11872237920).

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

6605031072 is a wasteful number, since it uses less digits than its factorization.

6605031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63730 (or 63722 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 6605031072 is about 81271.3422554347. The cubic root of 6605031072 is about 1876.2539591303.

The spelling of 6605031072 in words is "six billion, six hundred five million, thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 6486 8648 12972 17296 25944 34592 51888 63647 103776 127294 190941 254588 381882 509176 763764 1018352 1463881 1527528 2036704 2927762 2991409 3055056 4391643 5855524 5982818 6110112 8783286 8974227 11711048 11965636 17566572 17948454 23422096 23931272 35133144 35896908 46844192 47862544 68802407 70266288 71793816 95725088 137604814 140532576 143587632 206407221 275209628 287175264 412814442 550419256 825628884 1100838512 1651257768 2201677024 3302515536 6605031072