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71507013680 = 2452839113467
BaseRepresentation
bin100001010011000100…
…1100111000000110000
320211120110001200000002
41002212021213000300
52132421243414210
652503323245132
75111003405354
oct1024611470060
9224513050002
1071507013680
1128364932823
1211a376797a8
13698772411b
143664c23464
151cd7a934a5
hex10a6267030

71507013680 has 80 divisors (see below), whose sum is σ = 167072592384. Its totient is φ = 28462237440.

The previous prime is 71507013637. The next prime is 71507013689. The reversal of 71507013680 is 8631070517.

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

It is a super-2 number, since 2×715070136802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71507013689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20623307 + ... + 20626773.

Almost surely, 271507013680 is an apocalyptic number.

It is an amenable number.

71507013680 is an abundant number, since it is smaller than the sum of its proper divisors (95565578704).

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

71507013680 is a wasteful number, since it uses less digits than its factorization.

71507013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 71507013680 in words is "seventy-one billion, five hundred seven million, thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 911 1132 1415 1822 2264 2830 3467 3644 4528 4555 5660 6934 7288 9110 11320 13868 14576 17335 18220 22640 27736 34670 36440 55472 69340 72880 138680 257813 277360 515626 981161 1031252 1289065 1962322 2062504 2578130 3158437 3924644 4125008 4905805 5156260 6316874 7849288 9811610 10312520 12633748 15698576 15792185 19623220 20625040 25267496 31584370 39246440 50534992 63168740 78492880 126337480 252674960 893837671 1787675342 3575350684 4469188355 7150701368 8938376710 14301402736 17876753420 35753506840 71507013680