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1081195668 = 223377120143
BaseRepresentation
bin100000001110001…
…1011110010010100
32210100110102122000
41000130123302110
54203241230133
6255141435300
735536003650
oct10034336224
92710412560
101081195668
11505341343
1226210bb30
13142cc8867
14a3845a60
1564dbe413
hex4071bc94

1081195668 has 96 divisors (see below), whose sum is σ = 3248824320. Its totient is φ = 304547040.

The previous prime is 1081195573. The next prime is 1081195679. The reversal of 1081195668 is 8665911801.

1081195668 is a `hidden beast` number, since 1 + 0 + 81 + 1 + 9 + 566 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43605 + ... + 63747.

It is an arithmetic number, because the mean of its divisors is an integer number (33841920).

Almost surely, 21081195668 is an apocalyptic number.

1081195668 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 1081195668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624412160).

1081195668 is an abundant number, since it is smaller than the sum of its proper divisors (2167628652).

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

1081195668 is a wasteful number, since it uses less digits than its factorization.

1081195668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20234 (or 20226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1081195668 is about 32881.5399274426. The cubic root of 1081195668 is about 1026.3640512415.

The spelling of 1081195668 in words is "one billion, eighty-one million, one hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1278 1491 1917 1988 2556 2982 3834 4473 5964 7668 8946 13419 17892 20143 26838 40286 53676 60429 80572 120858 141001 181287 241716 282002 362574 423003 543861 564004 725148 846006 1087722 1269009 1430153 1692012 2175444 2538018 2860306 3807027 4290459 5076036 5720612 7614054 8580918 10011071 12871377 15228108 17161836 20022142 25742754 30033213 38614131 40044284 51485508 60066426 77228262 90099639 120132852 154456524 180199278 270298917 360398556 540597834 1081195668