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71442393088 = 2111119166909
BaseRepresentation
bin100001010001001001…
…1000110100000000000
320211101221110121012211
41002202103012200000
52132303223034323
652453054231504
75106260215213
oct1024223064000
9224357417184
1071442393088
1128331406380
1211a19ab5594
136977219ca1
14365a40177a
151cd207b70d
hex10a24c6800

71442393088 has 96 divisors (see below), whose sum is σ = 164039148000. Its totient is φ = 30764482560.

The previous prime is 71442393083. The next prime is 71442393097. The reversal of 71442393088 is 88039324417.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71442393083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344578 + ... + 511486.

It is an arithmetic number, because the mean of its divisors is an integer number (1708741125).

Almost surely, 271442393088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71442393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82019574000).

71442393088 is an abundant number, since it is smaller than the sum of its proper divisors (92596754912).

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

71442393088 is a wasteful number, since it uses less digits than its factorization.

71442393088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166961 (or 166941 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 71442393088 in words is "seventy-one billion, four hundred forty-two million, three hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4864 5632 6688 9728 11264 13376 19456 22528 26752 38912 53504 107008 166909 214016 333818 428032 667636 1335272 1835999 2670544 3171271 3671998 5341088 6342542 7343996 10682176 12685084 14687992 21364352 25370168 29375984 34883981 42728704 50740336 58751968 69767962 85457408 101480672 117503936 139535924 170914816 202961344 235007872 279071848 341829632 405922688 470015744 558143696 811845376 940031488 1116287392 1623690752 1880062976 2232574784 3247381504 3760125952 4465149568 6494763008 8930299136 17860598272 35721196544 71442393088