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42222177557 = 7297113127619
BaseRepresentation
bin100111010100101000…
…110100110100010101
311000222112110212000222
4213110220310310111
51142432334140212
631221355444125
73023206405400
oct472450646425
9130875425028
1042222177557
11169a7355a1a
128224156645
133c9b57a521
14208777cd37
151171b34c72
hex9d4a34d15

42222177557 has 48 divisors (see below), whose sum is σ = 50536765440. Its totient is φ = 35163942912.

The previous prime is 42222177523. The next prime is 42222177589. The reversal of 42222177557 is 75577122224.

It is a happy number.

It is not a de Polignac number, because 42222177557 - 214 = 42222161173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222177457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68209994 + ... + 68210612.

It is an arithmetic number, because the mean of its divisors is an integer number (1052849280).

Almost surely, 242222177557 is an apocalyptic number.

It is an amenable number.

42222177557 is a deficient number, since it is larger than the sum of its proper divisors (8314587883).

42222177557 is a wasteful number, since it uses less digits than its factorization.

42222177557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its digits is 548800, while the sum is 44.

The spelling of 42222177557 in words is "forty-two billion, two hundred twenty-two million, one hundred seventy-seven thousand, five hundred fifty-seven".

Divisors: 1 7 49 97 113 127 619 679 791 889 4333 4753 5537 6223 10961 12319 14351 30331 60043 69947 76727 78613 86233 100457 420301 489629 537089 550291 603631 703199 1392047 2942107 3427403 3852037 6784859 7625461 8883269 9744329 47494013 53378227 62182883 68210303 332458091 373647589 435280181 861677093 6031739651 42222177557