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58812070144 = 282326592
BaseRepresentation
bin110110110001011110…
…001111100100000000
312121210201021201100011
4312301132033210000
51430421342221034
643003510434304
74151263230232
oct666136174400
9177721251304
1058812070144
1122a3a975853
12b494062994
135713600909
142bbcbc6252
1517e32ed864
hexdb178f900

58812070144 has 81 divisors (see below), whose sum is σ = 122906932603. Its totient is φ = 28084829696.

The previous prime is 58812070103. The next prime is 58812070157. The reversal of 58812070144 is 44107021885.

The square root of 58812070144 is 242512.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58812070097 and 58812070106.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 89244087 + ... + 89244745.

Almost surely, 258812070144 is an apocalyptic number.

58812070144 is the 242512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58812070144

58812070144 is an abundant number, since it is smaller than the sum of its proper divisors (64094862459).

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

58812070144 is an frugal number, since it uses more digits than its factorization.

58812070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 58812070144 in words is "fifty-eight billion, eight hundred twelve million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 659 736 1058 1318 1472 2116 2636 2944 4232 5272 5888 8464 10544 15157 16928 21088 30314 33856 42176 60628 67712 84352 121256 135424 168704 242512 348611 434281 485024 697222 868562 970048 1394444 1737124 1940096 2788888 3474248 3880192 5577776 6948496 9988463 11155552 13896992 19976926 22311104 27793984 39953852 44622208 55587968 79907704 89244416 111175936 159815408 229734649 319630816 459469298 639261632 918938596 1278523264 1837877192 2557046528 3675754384 7351508768 14703017536 29406035072 58812070144