Search a number
-
+
102027883936 = 25111341121613
BaseRepresentation
bin101111100000101010…
…1011111010110100000
3100202100111110112001011
41133001111133112200
53132423114241221
6114512043350304
710241226463366
oct1370125372640
9322314415034
10102027883936
113a2a7098340
1217934b22394
13980c99a874
144d1c4d7636
1529c22a91e1
hex17c155f5a0

102027883936 has 48 divisors (see below), whose sum is σ = 219154547808. Its totient is φ = 46370707200.

The previous prime is 102027883933. The next prime is 102027883963. The reversal of 102027883936 is 639388720201.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 102027883936.

It is not an unprimeable number, because it can be changed into a prime (102027883931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4709866 + ... + 4731478.

It is an arithmetic number, because the mean of its divisors is an integer number (4565719746).

Almost surely, 2102027883936 is an apocalyptic number.

102027883936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102027883936 is an abundant number, since it is smaller than the sum of its proper divisors (117126663872).

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

102027883936 is a wasteful number, since it uses less digits than its factorization.

102027883936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35045 (or 35037 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 102027883936 in words is "one hundred two billion, twenty-seven million, eight hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 13411 21613 26822 43226 53644 86452 107288 147521 172904 214576 237743 295042 345808 429152 475486 590084 691616 950972 1180168 1901944 2360336 3803888 4720672 7607776 289851943 579703886 1159407772 2318815544 3188371373 4637631088 6376742746 9275262176 12753485492 25506970984 51013941968 102027883936