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1089856064 = 26115772683
BaseRepresentation
bin100000011110101…
…1110001001000000
32210221202102110102
41000331132021000
54213000343224
6300051221532
736002423633
oct10075361100
92727672412
101089856064
1150a216aa0
12264ba78a8
13144a3b75b
14a4a5bc1a
1565a304ae
hex40f5e240

1089856064 has 56 divisors (see below), whose sum is σ = 2364260448. Its totient is φ = 494346240.

The previous prime is 1089856037. The next prime is 1089856067. The reversal of 1089856064 is 4606589801.

It is not an unprimeable number, because it can be changed into a prime (1089856067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404867 + ... + 407549.

Almost surely, 21089856064 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 1089856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182130224).

1089856064 is an abundant number, since it is smaller than the sum of its proper divisors (1274404384).

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

1089856064 is a wasteful number, since it uses less digits than its factorization.

1089856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 1089856064 is about 33012.9681186045. The cubic root of 1089856064 is about 1029.0971646844.

The spelling of 1089856064 in words is "one billion, eighty-nine million, eight hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 577 704 1154 2308 2683 4616 5366 6347 9232 10732 12694 18464 21464 25388 29513 36928 42928 50776 59026 85856 101552 118052 171712 203104 236104 406208 472208 944416 1548091 1888832 3096182 6192364 12384728 17029001 24769456 34058002 49538912 68116004 99077824 136232008 272464016 544928032 1089856064