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4137013700077 = 73599241139241
BaseRepresentation
bin111100001100111001001…
…110110110010111101101
3112122111100121010211022111
4330030321032312113231
51020240101001400302
612444303505044021
7604614025146466
oct74147116662755
915574317124274
104137013700077
111355552422445
12569945626611
13240170a91c4b
141043380cdd6d
157292e9420d7
hex3c3393b65ed

4137013700077 has 16 divisors (see below), whose sum is σ = 4202535657600. Its totient is φ = 4071737030400.

The previous prime is 4137013700063. The next prime is 4137013700087. The reversal of 4137013700077 is 7700073107314.

It is a cyclic number.

It is not a de Polignac number, because 4137013700077 - 215 = 4137013667309 is a prime.

It is a super-2 number, since 2×41370137000772 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137013700047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105406177 + ... + 105445417.

It is an arithmetic number, because the mean of its divisors is an integer number (262658478600).

Almost surely, 24137013700077 is an apocalyptic number.

It is an amenable number.

4137013700077 is a deficient number, since it is larger than the sum of its proper divisors (65521957523).

4137013700077 is a wasteful number, since it uses less digits than its factorization.

4137013700077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42324.

The product of its (nonzero) digits is 86436, while the sum is 40.

The spelling of 4137013700077 in words is "four trillion, one hundred thirty-seven billion, thirteen million, seven hundred thousand, seventy-seven".

Divisors: 1 73 599 2411 39241 43727 176003 1444189 2864593 23505359 94610051 105425797 1715891207 6906533723 56671420549 4137013700077