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137881130882850 = 23252758940374557
BaseRepresentation
bin11111010110011011110011…
…110100111101011100100010
3200002012022022002011212202200
4133112123303310331130202
5121033021024001222400
61205125414520154030
741020403646665115
oct3726336364753442
9602168262155680
10137881130882850
113aa2a071914373
121356a353908916
135bc219a366724
1426096a779257c
1510e191098eb00
hex7d66f3d3d722

137881130882850 has 72 divisors (see below), whose sum is σ = 370489460320980. Its totient is φ = 36763455711360.

The previous prime is 137881130882837. The next prime is 137881130882861. The reversal of 137881130882850 is 58288031188731.

137881130882850 is a `hidden beast` number, since 1 + 3 + 78 + 81 + 130 + 88 + 285 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77221184769 + 137803909698081 = 277887^2 + 11738991^2 .

It is a super-2 number, since 2×1378811308828502 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16772229 + ... + 23602328.

Almost surely, 2137881130882850 is an apocalyptic number.

137881130882850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137881130882850 is an abundant number, since it is smaller than the sum of its proper divisors (232608329438130).

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

137881130882850 is a wasteful number, since it uses less digits than its factorization.

137881130882850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40382164 (or 40382156 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 137881130882850 in words is "one hundred thirty-seven trillion, eight hundred eighty-one billion, one hundred thirty million, eight hundred eighty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 7589 15178 22767 37945 45534 68301 75890 113835 136602 189725 227670 341505 379450 569175 683010 1138350 1707525 3415050 40374557 80749114 121123671 201872785 242247342 363371013 403745570 605618355 726742026 1009363925 1211236710 1816855065 2018727850 3028091775 3633710130 6056183550 9084275325 18168550650 306402513073 612805026146 919207539219 1532012565365 1838415078438 2757622617657 3064025130730 4596037696095 5515245235314 7660062826825 9192075392190 13788113088285 15320125653650 22980188480475 27576226176570 45960376960950 68940565441425 137881130882850