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67412420541 = 3231597951839
BaseRepresentation
bin111110110010000101…
…111110011110111101
320110000002100210011100
4332302011332132331
52101030034424131
650545134043313
74604354056134
oct766205763675
9213002323140
1067412420541
1126653610354
1211094349539
136484332c4b
1433970c891b
151b483857e6
hexfb217e7bd

67412420541 has 48 divisors (see below), whose sum is σ = 103514112000. Its totient is φ = 42212720160.

The previous prime is 67412420533. The next prime is 67412420591. The reversal of 67412420541 is 14502421476.

67412420541 is a `hidden beast` number, since 6 + 74 + 1 + 2 + 42 + 0 + 541 = 666.

It is not a de Polignac number, because 67412420541 - 23 = 67412420533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67412420496 and 67412420505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67412420501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274500 + ... + 1326338.

It is an arithmetic number, because the mean of its divisors is an integer number (2156544000).

Almost surely, 267412420541 is an apocalyptic number.

It is an amenable number.

67412420541 is a deficient number, since it is larger than the sum of its proper divisors (36101691459).

67412420541 is a wasteful number, since it uses less digits than its factorization.

67412420541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52014 (or 52011 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 67412420541 in words is "sixty-seven billion, four hundred twelve million, four hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 9 31 59 79 93 177 237 279 531 711 1829 2449 4661 5487 7347 13983 16461 22041 41949 51839 144491 155517 433473 466551 1300419 1607009 3058501 4095281 4821027 9175503 12285843 14463081 27526509 36857529 94813531 126953711 241621579 284440593 380861133 724864737 853321779 1142583399 2174594211 7490268949 22470806847 67412420541