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71506391320 = 235713191033927
BaseRepresentation
bin100001010011000011…
…1001111000100011000
320211120101220001021201
41002212013033010120
52132421114010240
652503302043544
75110665204040
oct1024607170430
9224511801251
1071506391320
1128364548181
1211a374195b4
136987566a70
143664b00720
151cd79bdd9a
hex10a61cf118

71506391320 has 128 divisors (see below), whose sum is σ = 208439884800. Its totient is φ = 21439489536.

The previous prime is 71506391293. The next prime is 71506391329. The reversal of 71506391320 is 2319360517.

It is a super-2 number, since 2×715063913202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71506391320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71506391329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447804 + ... + 586123.

It is an arithmetic number, because the mean of its divisors is an integer number (1628436600).

Almost surely, 271506391320 is an apocalyptic number.

71506391320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71506391320 is an abundant number, since it is smaller than the sum of its proper divisors (136933493480).

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

71506391320 is a wasteful number, since it uses less digits than its factorization.

71506391320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033977 (or 1033973 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 71506391320 in words is "seventy-one billion, five hundred six million, three hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 1033927 2067854 4135708 5169635 7237489 8271416 10339270 13441051 14474978 19644613 20678540 26882102 28949956 36187445 39289226 41357080 53764204 57899912 67205255 72374890 78578452 94087357 98223065 107528408 134410510 137512291 144749780 157156904 188174714 196446130 255379969 268821020 275024582 289499560 376349428 392892260 470436785 510759938 537642040 550049164 687561455 752698856 785784520 940873570 1021519876 1100098328 1276899845 1375122910 1787659783 1881747140 2043039752 2553799690 2750245820 3575319566 3763494280 5107599380 5500491640 7150639132 8938298915 10215198760 14301278264 17876597830 35753195660 71506391320