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1089713664 = 29321318191
BaseRepresentation
bin100000011110011…
…1011011000000000
32210221111012010100
41000330323120000
54212431314124
6300044202400
736001261524
oct10074733000
92727435110
101089713664
1150a12a006
12264b39400
131449bb9b0
14a4a21d84
1565a031c9
hex40f3b600

1089713664 has 120 divisors (see below), whose sum is σ = 3387095712. Its totient is φ = 335278080.

The previous prime is 1089713663. The next prime is 1089713671. The reversal of 1089713664 is 4663179801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089713663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50809 + ... + 68999.

Almost surely, 21089713664 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 1089713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693547856).

1089713664 is an abundant number, since it is smaller than the sum of its proper divisors (2297382048).

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

1089713664 is a wasteful number, since it uses less digits than its factorization.

1089713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18228 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1089713664 is about 33010.8113199297. The cubic root of 1089713664 is about 1029.0523423071.

The spelling of 1089713664 in words is "one billion, eighty-nine million, seven hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 18191 19968 29952 36382 54573 59904 72764 109146 145528 163719 218292 236483 291056 327438 436584 472966 582112 654876 709449 873168 945932 1164224 1309752 1418898 1746336 1891864 2128347 2328448 2619504 2837796 3492672 3783728 4256694 4656896 5239008 5675592 6985344 7567456 8513388 9313792 10478016 11351184 13970688 15134912 17026776 20956032 22702368 27941376 30269824 34053552 41912064 45404736 60539648 68107104 83824128 90809472 121079296 136214208 181618944 272428416 363237888 544856832 1089713664