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691116077372 = 227193124132971
BaseRepresentation
bin10100000111010011011…
…10100111000100111100
32110001220001211100221112
422003221232213010330
542310401203433442
61245254440021152
7100634333505320
oct12035156470474
92401801740845
10691116077372
11247112010086
12b1b394617b8
1350230a6c2a6
14256434a7980
1512e9e1a9082
hexa0e9ba713c

691116077372 has 144 divisors (see below), whose sum is σ = 1540145859840. Its totient is φ = 264920544000.

The previous prime is 691116077371. The next prime is 691116077423. The reversal of 691116077372 is 273770611196.

691116077372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 691116077372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (691116077371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20944847 + ... + 20977817.

It is an arithmetic number, because the mean of its divisors is an integer number (10695457360).

Almost surely, 2691116077372 is an apocalyptic number.

691116077372 is a gapful number since it is divisible by the number (62) 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 691116077372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770072929920).

691116077372 is an abundant number, since it is smaller than the sum of its proper divisors (849029782468).

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

691116077372 is a wasteful number, since it uses less digits than its factorization.

691116077372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33104 (or 33071 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 50.

The spelling of 691116077372 in words is "six hundred ninety-one billion, one hundred sixteen million, seventy-seven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 31 38 41 62 76 82 124 133 164 217 266 287 434 532 574 589 779 868 961 1148 1178 1271 1558 1922 2356 2542 3116 3844 4123 5084 5453 6727 8246 8897 10906 13454 16492 17794 18259 21812 24149 26908 32971 35588 36518 39401 48298 65942 73036 78802 96596 127813 131884 157604 169043 230797 255626 275807 338086 461594 511252 551614 626449 676172 748619 923188 1022101 1103228 1252898 1351811 1497238 2044202 2505796 2703622 2994476 4088404 4385143 5240333 5407244 7154707 8770286 9462677 10480666 14309414 17540572 18925354 19419919 20961332 25684409 28618828 31685131 37850708 38839838 41906141 51368818 63370262 77679676 83812282 102737636 126740524 135939433 167624564 179790863 221795917 271878866 293342987 359581726 443591834 543757732 586685974 602017489 719163452 796216679 887183668 1173371948 1204034978 1299090371 1592433358 2408069956 2598180742 3184866716 4214122423 5196361484 5573516753 8428244846 9093632597 11147033506 16856489692 18187265194 22294067012 24682717049 36374530388 49365434098 98730868196 172779019343 345558038686 691116077372