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102775156660 = 22511243398081
BaseRepresentation
bin101111110110111100…
…0000110111110110100
3100211021120120220111201
41133231320012332310
53140440420003120
6115114140142244
710265602263151
oct1375570067664
9324246526451
10102775156660
113a64a995400
1217b03237984
1398cb74bb87
144d8d859228
152a17bb840a
hex17ede06fb4

102775156660 has 72 divisors (see below), whose sum is σ = 237782546568. Its totient is φ = 37286092800.

The previous prime is 102775156657. The next prime is 102775156697. The reversal of 102775156660 is 66651577201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4064827536 + 98710329124 = 63756^2 + 314182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102775156660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998820 + ... + 1096900.

It is an arithmetic number, because the mean of its divisors is an integer number (3302535369).

Almost surely, 2102775156660 is an apocalyptic number.

102775156660 is a gapful number since it is divisible by the number (10) 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 102775156660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118891273284).

102775156660 is an abundant number, since it is smaller than the sum of its proper divisors (135007389908).

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

102775156660 is a wasteful number, since it uses less digits than its factorization.

102775156660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98545 (or 98532 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 102775156660 in words is "one hundred two billion, seven hundred seventy-five million, one hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 433 484 605 866 1210 1732 2165 2420 4330 4763 8660 9526 19052 23815 47630 52393 95260 98081 104786 196162 209572 261965 392324 490405 523930 980810 1047860 1078891 1961620 2157782 4315564 5394455 10788910 11867801 21577820 23735602 42469073 47471204 59339005 84938146 118678010 169876292 212345365 237356020 424690730 467159803 849381460 934319606 1868639212 2335799015 4671598030 5138757833 9343196060 10277515666 20555031332 25693789165 51387578330 102775156660