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70771960900 = 22523727192
BaseRepresentation
bin100000111101001010…
…1100110110001000100
320202200012221010011001
41001322111212301010
52124420110222100
652302344423044
75053536512344
oct1017225466104
9222605833131
1070771960900
1128017a21793
1211871477a84
13689b360c54
1435d5362d24
151c93299d6a
hex107a566c44

70771960900 has 81 divisors (see below), whose sum is σ = 158057845239. Its totient is φ = 27505373760.

The previous prime is 70771960877. The next prime is 70771960913. The reversal of 70771960900 is 906917707.

The square root of 70771960900 is 266030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6718425156 + 64053535744 = 81966^2 + 253088^2 .

It is a super-2 number, since 2×707719609002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98430741 + ... + 98431459.

Almost surely, 270771960900 is an apocalyptic number.

70771960900 is the 266030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70771960900

70771960900 is an abundant number, since it is smaller than the sum of its proper divisors (87285884339).

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

70771960900 is an equidigital number, since it uses as much as digits as its factorization.

70771960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 46.

The spelling of 70771960900 in words is "seventy billion, seven hundred seventy-one million, nine hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 719 740 925 1369 1438 1850 2738 2876 3595 3700 5476 6845 7190 13690 14380 17975 26603 27380 34225 35950 53206 68450 71900 106412 133015 136900 266030 516961 532060 665075 984311 1033922 1330150 1968622 2067844 2584805 2660300 3937244 4921555 5169610 9843110 10339220 12924025 19127557 19686220 24607775 25848050 38255114 49215550 51696100 76510228 95637785 98431100 191275570 382551140 478188925 707719609 956377850 1415439218 1912755700 2830878436 3538598045 7077196090 14154392180 17692990225 35385980450 70771960900