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71458722400 = 2552136871031
BaseRepresentation
bin100001010001101000…
…1011001001001100000
320211110002012012211011
41002203101121021200
52132321413104100
652454440230304
75106546055432
oct1024321311140
9224402165734
1071458722400
112833a64987a
1211a2346b394
13697a7166c0
14365c652652
151cd3704bba
hex10a3459260

71458722400 has 72 divisors (see below), whose sum is σ = 187867756944. Its totient is φ = 26384755200.

The previous prime is 71458722371. The next prime is 71458722421. The reversal of 71458722400 is 422785417.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3425116 + ... + 3445915.

It is an arithmetic number, because the mean of its divisors is an integer number (2609274402).

Almost surely, 271458722400 is an apocalyptic number.

It is an amenable number.

71458722400 is an abundant number, since it is smaller than the sum of its proper divisors (116409034544).

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

71458722400 is a wasteful number, since it uses less digits than its factorization.

71458722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871064 (or 6871051 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 71458722400 in words is "seventy-one billion, four hundred fifty-eight million, seven hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 6871031 13742062 27484124 34355155 54968248 68710310 89323403 109936496 137420620 171775775 178646806 219872992 274841240 343551550 357293612 446617015 549682480 687103100 714587224 893234030 1099364960 1374206200 1429174448 1786468060 2233085075 2748412400 2858348896 3572936120 4466170150 5496824800 7145872240 8932340300 14291744480 17864680600 35729361200 71458722400