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71442875620 = 225181193293349
BaseRepresentation
bin100001010001001010…
…0111100010011100100
320211101222101010010101
41002202110330103210
52132303334004440
652453112433444
75106264265054
oct1024224742344
9224358333111
1071442875620
1128331705966
1211a1a0a8884
1369773587cc
14365a4c9564
151cd212469a
hex10a253c4e4

71442875620 has 96 divisors (see below), whose sum is σ = 152594114400. Its totient is φ = 28094791680.

The previous prime is 71442875611. The next prime is 71442875633. The reversal of 71442875620 is 2657824417.

It can be written as a sum of positive squares in 16 ways, for example, as 18998211556 + 52444664064 = 137834^2 + 229008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204707206 + ... + 204707554.

It is an arithmetic number, because the mean of its divisors is an integer number (1589522025).

Almost surely, 271442875620 is an apocalyptic number.

It is an amenable number.

71442875620 is an abundant number, since it is smaller than the sum of its proper divisors (81151238780).

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

71442875620 is a wasteful number, since it uses less digits than its factorization.

71442875620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 71442875620 in words is "seventy-one billion, four hundred forty-two million, eight hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 181 193 293 349 362 386 586 698 724 772 905 965 1172 1396 1465 1745 1810 1930 2930 3490 3620 3860 5860 6980 34933 53033 56549 63169 67357 69866 102257 106066 113098 126338 134714 139732 174665 204514 212132 226196 252676 265165 269428 282745 315845 336785 349330 409028 511285 530330 565490 631690 673570 698660 1022570 1060660 1130980 1263380 1347140 2045140 10235369 12191617 18508517 19735601 20470738 24383234 37017034 39471202 40941476 48766468 51176845 60958085 74034068 78942404 92542585 98678005 102353690 121916170 185085170 197356010 204707380 243832340 370170340 394712020 3572143781 7144287562 14288575124 17860718905 35721437810 71442875620