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137437228890 = 232513307382631
BaseRepresentation
bin111111111111111100…
…1011010111101011010
3111010202020101121200200
41333333321122331122
54222432412311030
6143045432443030
712633552112263
oct1777771327532
9433666347620
10137437228890
1153317807295
1222777549476
13cc639554a0
14691b11b96a
153895c46d60
hex1fffe5af5a

137437228890 has 96 divisors (see below), whose sum is σ = 386078749056. Its totient is φ = 33720416640.

The previous prime is 137437228879. The next prime is 137437228927. The reversal of 137437228890 is 98822734731.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167875 + ... + 550505.

It is an arithmetic number, because the mean of its divisors is an integer number (4021653636).

Almost surely, 2137437228890 is an apocalyptic number.

137437228890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137437228890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193039374528).

137437228890 is an abundant number, since it is smaller than the sum of its proper divisors (248641520166).

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

137437228890 is a wasteful number, since it uses less digits than its factorization.

137437228890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382964 (or 382961 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 137437228890 in words is "one hundred thirty-seven billion, four hundred thirty-seven million, two hundred twenty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 307 390 585 614 921 1170 1535 1842 2763 3070 3991 4605 5526 7982 9210 11973 13815 19955 23946 27630 35919 39910 59865 71838 119730 179595 359190 382631 765262 1147893 1913155 2295786 3443679 3826310 4974203 5739465 6887358 9948406 11478930 14922609 17218395 24871015 29845218 34436790 44767827 49742030 74613045 89535654 117467717 149226090 223839135 234935434 352403151 447678270 587338585 704806302 1057209453 1174677170 1527080321 1762015755 2114418906 3054160642 3524031510 4581240963 5286047265 7635401605 9162481926 10572094530 13743722889 15270803210 22906204815 27487445778 45812409630 68718614445 137437228890