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5675000064 = 28310371741
BaseRepresentation
bin1010100100100000…
…11010000100000000
3112122111111212120120
411102100122010000
543110300000224
62335042540240
7260426463456
oct52220320400
915574455516
105675000064
1124524315a8
121124667680
136c5956b06
143bb9ac9d6
1523333b779
hex15241a100

5675000064 has 72 divisors (see below), whose sum is σ = 15250627392. Its totient is φ = 1873274880.

The previous prime is 5675000033. The next prime is 5675000087. The reversal of 5675000064 is 4600005765.

It is a junction number, because it is equal to n+sod(n) for n = 5674999989 and 5675000034.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43234 + ... + 114974.

Almost surely, 25675000064 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 5675000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625313696).

5675000064 is an abundant number, since it is smaller than the sum of its proper divisors (9575627328).

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

5675000064 is a wasteful number, since it uses less digits than its factorization.

5675000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71863 (or 71849 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5675000064 is about 75332.5962913797. The cubic root of 5675000064 is about 1783.7005939119.

The spelling of 5675000064 in words is "five billion, six hundred seventy-five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 26368 39552 71741 79104 143482 215223 286964 430446 573928 860892 1147856 1721784 2295712 3443568 4591424 6887136 7389323 9182848 13774272 14778646 18365696 22167969 27548544 29557292 44335938 55097088 59114584 88671876 118229168 177343752 236458336 354687504 472916672 709375008 945833344 1418750016 1891666688 2837500032 5675000064