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71000804740 = 225193147128239
BaseRepresentation
bin100001000011111111…
…0100100110110000100
320210021011112120212211
41002013332210312010
52130402201222430
652341201353204
75062315611505
oct1020776446604
9223234476784
1071000804740
1128125115528
1211916038804
1369068a6bc8
1436178d2bac
151ca840072a
hex1087fa4d84

71000804740 has 96 divisors (see below), whose sum is σ = 165460377600. Its totient is φ = 25483455360.

The previous prime is 71000804737. The next prime is 71000804741. The reversal of 71000804740 is 4740800017.

It is a super-2 number, since 2×710008047402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (71000804741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489541 + ... + 617779.

It is an arithmetic number, because the mean of its divisors is an integer number (1723545600).

Almost surely, 271000804740 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 71000804740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730188800).

71000804740 is an abundant number, since it is smaller than the sum of its proper divisors (94459572860).

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

71000804740 is a wasteful number, since it uses less digits than its factorization.

71000804740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128345 (or 128343 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 71000804740 in words is "seventy-one billion, eight hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 47 62 76 94 95 124 155 188 190 235 310 380 470 589 620 893 940 1178 1457 1786 2356 2914 2945 3572 4465 5828 5890 7285 8930 11780 14570 17860 27683 29140 55366 110732 128239 138415 256478 276830 512956 553660 641195 1282390 2436541 2564780 3975409 4873082 6027233 7950818 9746164 12054466 12182705 15901636 19877045 24108932 24365410 30136165 39754090 48730820 60272330 75532771 79508180 114517427 120544660 151065542 186844223 229034854 302131084 373688446 377663855 458069708 572587135 747376892 755327710 934221115 1145174270 1510655420 1868442230 2290348540 3550040237 3736884460 7100080474 14200160948 17750201185 35500402370 71000804740