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42137512767 = 347672714093
BaseRepresentation
bin100111001111100101…
…110110101100111111
311000202122011102210000
4213033211312230333
51142244200402032
631205133045343
73021130643310
oct471745665477
9130678142700
1042137512767
1116963589019
1281bb926853
133c86b75b0c
14207a420607
1511694ade7c
hex9cf976b3f

42137512767 has 80 divisors (see below), whose sum is σ = 73299500032. Its totient is φ = 23625898560.

The previous prime is 42137512741. The next prime is 42137512771. The reversal of 42137512767 is 76721573124.

42137512767 is a `hidden beast` number, since 4 + 2 + 1 + 375 + 1 + 276 + 7 = 666.

It is not a de Polignac number, because 42137512767 - 214 = 42137496383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42137513767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10292973 + ... + 10297065.

Almost surely, 242137512767 is an apocalyptic number.

42137512767 is a deficient number, since it is larger than the sum of its proper divisors (31161987265).

42137512767 is a wasteful number, since it uses less digits than its factorization.

42137512767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4441 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 42137512767 in words is "forty-two billion, one hundred thirty-seven million, five hundred twelve thousand, seven hundred sixty-seven".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 271 469 567 603 813 1407 1809 1897 2439 4093 4221 5427 5691 7317 12279 12663 17073 18157 21951 28651 36837 37989 51219 54471 85953 110511 127099 153657 163413 257859 274231 331533 381297 490239 773577 822693 1109203 1143891 1470717 1919617 2320731 2468079 3327609 3431673 5758851 7404237 7764421 9982827 10295019 17276553 22212711 23293263 29948481 51829659 69879789 74316601 89845443 155488977 209639367 222949803 520216207 628918101 668849409 1560648621 2006548227 4681945863 6019644681 14045837589 42137512767