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137104561644 = 22371907177421
BaseRepresentation
bin111111110110000010…
…0011001010111101100
3111002220001102101000120
41333230010121113230
54221242231433034
6142552430324540
712622402355031
oct1775404312754
9432801371016
10137104561644
1153166a50486
12226a4059750
13cc0ca5a66b
1468c8c83388
153876933c49
hex1fec1195ec

137104561644 has 48 divisors (see below), whose sum is σ = 324775938816. Its totient is φ = 45007905600.

The previous prime is 137104561639. The next prime is 137104561709. The reversal of 137104561644 is 446165401731.

It is a super-3 number, since 3×1371045616443 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137104561596 and 137104561605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684054 + ... + 861474.

It is an arithmetic number, because the mean of its divisors is an integer number (6766165392).

Almost surely, 2137104561644 is an apocalyptic number.

It is an amenable number.

137104561644 is an abundant number, since it is smaller than the sum of its proper divisors (187671377172).

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

137104561644 is a wasteful number, since it uses less digits than its factorization.

137104561644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178406 (or 178404 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 137104561644 in words is "one hundred thirty-seven billion, one hundred four million, five hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 907 1814 2721 3628 5442 10884 64397 128794 177421 193191 257588 354842 386382 532263 709684 772764 1064526 2129052 12596891 25193782 37790673 50387564 75581346 151162692 160920847 321841694 482762541 643683388 965525082 1931050164 11425380137 22850760274 34276140411 45701520548 68552280822 137104561644