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71007474342 = 23729259322483
BaseRepresentation
bin100001000100001100…
…0000001001010100110
320210021122002102212010
41002020120001022212
52130410403134332
652342000335050
75062426400430
oct1021030011246
9223248072763
1071007474342
11281289604a2
1211918314486
1369080a090c
14361874b650
151ca8cbb9cc
hex10886012a6

71007474342 has 64 divisors (see below), whose sum is σ = 167971668480. Its totient is φ = 19579843584.

The previous prime is 71007474289. The next prime is 71007474347. The reversal of 71007474342 is 24347470017.

It is a super-2 number, since 2×710074743422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71007474342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71007474347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3147033 + ... + 3169515.

It is an arithmetic number, because the mean of its divisors is an integer number (2624557320).

Almost surely, 271007474342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71007474342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83985834240).

71007474342 is an abundant number, since it is smaller than the sum of its proper divisors (96964194138).

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

71007474342 is a wasteful number, since it uses less digits than its factorization.

71007474342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25117.

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 71007474342 in words is "seventy-one billion, seven million, four hundred seventy-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2593 5186 7779 15558 18151 22483 36302 44966 54453 67449 75197 108906 134898 150394 157381 225591 314762 451182 472143 526379 652007 944286 1052758 1304014 1579137 1956021 3158274 3912042 4564049 9128098 13692147 27384294 58298419 116596838 174895257 349790514 408088933 816177866 1224266799 1690654151 2448533598 3381308302 5071962453 10143924906 11834579057 23669158114 35503737171 71007474342