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71018237440 = 295127218437
BaseRepresentation
bin100001000100100000…
…1000100111000000000
320210022101100021001101
41002021001010320000
52130421132044230
652343023144144
75062620025633
oct1021101047000
9223271307041
1071018237440
1128133a41a17
121191ba45054
13690a39b907
143619d4dc1a
151ca9be5aca
hex1089044e00

71018237440 has 80 divisors (see below), whose sum is σ = 171618872832. Its totient is φ = 28183486464.

The previous prime is 71018237393. The next prime is 71018237447. The reversal of 71018237440 is 4473281017.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 71018237440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71018237447) 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, 215902 + ... + 434338.

Almost surely, 271018237440 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 71018237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85809436416).

71018237440 is an abundant number, since it is smaller than the sum of its proper divisors (100600635392).

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

71018237440 is a wasteful number, since it uses less digits than its factorization.

71018237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218587 (or 218571 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 71018237440 in words is "seventy-one billion, eighteen million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1270 1280 2032 2540 2560 4064 5080 8128 10160 16256 20320 32512 40640 65024 81280 162560 218437 325120 436874 873748 1092185 1747496 2184370 3494992 4368740 6989984 8737480 13979968 17474960 27741499 27959936 34949920 55482998 55919872 69899840 110965996 111839744 138707495 139799680 221931992 277414990 279599360 443863984 554829980 559198720 887727968 1109659960 1775455936 2219319920 3550911872 4438639840 7101823744 8877279680 14203647488 17754559360 35509118720 71018237440