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1089311688 = 2332294011301
BaseRepresentation
bin100000011101101…
…1001001111001000
32210220201202201100
41000323121033020
54212330433223
6300031421400
735664665553
oct10073311710
92726652640
101089311688
11509984aa3
12264984860
131448aaa3a
14a495969a
1565974043
hex40ed93c8

1089311688 has 96 divisors (see below), whose sum is σ = 3061913400. Its totient is φ = 349440000.

The previous prime is 1089311683. The next prime is 1089311689. The reversal of 1089311688 is 8861139801.

It can be written as a sum of positive squares in 4 ways, for example, as 915546564 + 173765124 = 30258^2 + 13182^2 .

It is a super-2 number, since 2×10893116882 = 2373199907226818688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1089311683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836638 + ... + 837938.

Almost surely, 21089311688 is an apocalyptic number.

1089311688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089311688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530956700).

1089311688 is an abundant number, since it is smaller than the sum of its proper divisors (1972601712).

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

1089311688 is a wasteful number, since it uses less digits than its factorization.

1089311688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1089311688 is about 33004.7222075872. The cubic root of 1089311688 is about 1028.9257937064.

The spelling of 1089311688 in words is "one billion, eighty-nine million, three hundred eleven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 401 522 696 802 1044 1203 1301 1604 2088 2406 2602 3208 3609 3903 4812 5204 7218 7806 9624 10408 11629 11709 14436 15612 23258 23418 28872 31224 34887 37729 46516 46836 69774 75458 93032 93672 104661 113187 139548 150916 209322 226374 279096 301832 339561 418644 452748 521701 679122 837288 905496 1043402 1358244 1565103 2086804 2716488 3130206 4173608 4695309 6260412 9390618 12520824 15129329 18781236 30258658 37562472 45387987 60517316 90775974 121034632 136163961 181551948 272327922 363103896 544655844 1089311688