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71361563124 = 22329899972311
BaseRepresentation
bin100001001110101111…
…0110000100111110100
320211012022101000100110
41002131132300213310
52132122030004444
652441045543020
75104256164305
oct1023536604764
9224168330313
1071361563124
112829a818655
12119b6a14a70
136963558bc7
14364d7a07ac
151cc9e11cb9
hex109d7b09f4

71361563124 has 96 divisors (see below), whose sum is σ = 174437625600. Its totient is φ = 22676290560.

The previous prime is 71361563101. The next prime is 71361563131. The reversal of 71361563124 is 42136516317.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30877929 + ... + 30880239.

It is an arithmetic number, because the mean of its divisors is an integer number (1817058600).

Almost surely, 271361563124 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 71361563124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218812800).

71361563124 is an abundant number, since it is smaller than the sum of its proper divisors (103076062476).

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

71361563124 is a wasteful number, since it uses less digits than its factorization.

71361563124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3431 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 71361563124 in words is "seventy-one billion, three hundred sixty-one million, five hundred sixty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 997 1068 1994 2311 2581 2991 3988 4622 5162 5982 6933 7743 9244 10324 11964 13866 15486 27732 28913 30972 57826 67019 86739 88733 115652 134038 173478 177466 201057 205679 266199 268076 346956 354932 402114 411358 532398 617037 804228 822716 1064796 1234074 2304067 2468148 2573257 4608134 5146514 5964691 6912201 7719771 9216268 10293028 11929382 13824402 15439542 17894073 23858764 27648804 30879084 35788146 66817943 71576292 133635886 200453829 205061963 267271772 400907658 410123926 615185889 801815316 820247852 1230371778 2460743556 5946796927 11893593854 17840390781 23787187708 35680781562 71361563124