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137669110488 = 233471331127593
BaseRepresentation
bin1000000000110110110…
…1111110101011011000
3111011100101201102110000
42000031231332223120
54223421243013423
6143124434453000
712642366063030
oct2001555765330
9434311642400
10137669110488
1153426695378
1222821134160
13cc9c9c3030
14693dc3c8c0
1538ab29c843
hex200db7ead8

137669110488 has 640 divisors, whose sum is σ = 494585118720. Its totient is φ = 34801643520.

The previous prime is 137669110487. The next prime is 137669110489. The reversal of 137669110488 is 884011966731.

137669110488 is a `hidden beast` number, since 1 + 3 + 7 + 66 + 91 + 10 + 488 = 666.

137669110488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137669110487) and next prime (137669110489).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137669110487) 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 159 ways as a sum of consecutive naturals, for example, 232156720 + ... + 232157312.

It is an arithmetic number, because the mean of its divisors is an integer number (772789248).

Almost surely, 2137669110488 is an apocalyptic number.

137669110488 is a gapful number since it is divisible by the number (18) 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 137669110488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247292559360).

137669110488 is an abundant number, since it is smaller than the sum of its proper divisors (356916008232).

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

137669110488 is a wasteful number, since it uses less digits than its factorization.

137669110488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 137669110488 in words is "one hundred thirty-seven billion, six hundred sixty-nine million, one hundred ten thousand, four hundred eighty-eight".