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137944581642 = 23279191191293
BaseRepresentation
bin1000000001111000100…
…0110100011000001010
3111012001121001210211100
42000132020310120022
54230002303103032
6143212035042230
712652252411650
oct2003610643012
9435047053740
10137944581642
115355813598a
1222899440376
1310014ab320a
146968668dd0
1538c556397c
hex201e23460a

137944581642 has 48 divisors (see below), whose sum is σ = 341949029760. Its totient is φ = 39369818016.

The previous prime is 137944581629. The next prime is 137944581647. The reversal of 137944581642 is 246185449731.

137944581642 is a `hidden beast` number, since 1 + 37 + 9 + 445 + 8 + 164 + 2 = 666.

It is a super-5 number, since 5×1379445816425 (a number of 57 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (137944581647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479853 + ... + 711440.

It is an arithmetic number, because the mean of its divisors is an integer number (7123938120).

Almost surely, 2137944581642 is an apocalyptic number.

137944581642 is an abundant number, since it is smaller than the sum of its proper divisors (204004448118).

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

137944581642 is a wasteful number, since it uses less digits than its factorization.

137944581642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192227 (or 1192224 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 137944581642 in words is "one hundred thirty-seven billion, nine hundred forty-four million, five hundred eighty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 919 1838 2757 5514 6433 8271 12866 16542 19299 38598 57897 115794 1191293 2382586 3573879 7147758 8339051 10721637 16678102 21443274 25017153 50034306 75051459 150102918 1094798267 2189596534 3284394801 6568789602 7663587869 9853184403 15327175738 19706368806 22990763607 45981527214 68972290821 137944581642