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71242534000 = 24531116719391
BaseRepresentation
bin100001001011001100…
…0101100110001110000
320210220000101201002101
41002112120230301300
52131401042042000
652421154430144
75101312355521
oct1022630546160
9223800351071
1071242534000
112823960a280
1211982b92354
1369449b1b81
14363ba58848
151cbe74de6a
hex109662cc70

71242534000 has 160 divisors (see below), whose sum is σ = 189059899392. Its totient is φ = 25749920000.

The previous prime is 71242533959. The next prime is 71242534003. The reversal of 71242534000 is 43524217.

It is a self number, because there is not a number n which added to its sum of digits gives 71242534000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71242534003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3664305 + ... + 3683695.

Almost surely, 271242534000 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 71242534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94529949696).

71242534000 is an abundant number, since it is smaller than the sum of its proper divisors (117817365392).

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

71242534000 is a wasteful number, since it uses less digits than its factorization.

71242534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19592 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 71242534000 in words is "seventy-one billion, two hundred forty-two million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 167 176 200 220 250 275 334 400 440 500 550 668 835 880 1000 1100 1336 1375 1670 1837 2000 2200 2672 2750 3340 3674 4175 4400 5500 6680 7348 8350 9185 11000 13360 14696 16700 18370 19391 20875 22000 29392 33400 36740 38782 41750 45925 66800 73480 77564 83500 91850 96955 146960 155128 167000 183700 193910 213301 229625 310256 334000 367400 387820 426602 459250 484775 734800 775640 853204 918500 969550 1066505 1551280 1706408 1837000 1939100 2133010 2423875 3238297 3412816 3674000 3878200 4266020 4847750 5332525 6476594 7756400 8532040 9695500 10665050 12953188 16191485 17064080 19391000 21330100 25906376 26662625 32382970 35621267 38782000 42660200 51812752 53325250 64765940 71242534 80957425 85320400 106650500 129531880 142485068 161914850 178106335 213301000 259063760 284970136 323829700 356212670 404787125 426602000 569940272 647659400 712425340 809574250 890531675 1295318800 1424850680 1619148500 1781063350 2849701360 3238297000 3562126700 4452658375 6476594000 7124253400 8905316750 14248506800 17810633500 35621267000 71242534000