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58296095795344 = 2411219291332
BaseRepresentation
bin11010100000101000111100…
…00101001110100010010000
321122102001102011000112210211
431100110132011032202100
530120110401010422334
6323552505013533504
715164516412240121
oct1520243605164220
9248361364015724
1058296095795344
1117636265333900
126656210644294
13266b3b5325064
141057790690048
156b1636632a64
hex35051e14e890

58296095795344 has 135 divisors (see below), whose sum is σ = 131042684280249. Its totient is φ = 25100833253760.

The previous prime is 58296095795309. The next prime is 58296095795359. The reversal of 58296095795344 is 44359759069285.

The square root of 58296095795344 is 7635188.

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

It can be written as a sum of positive squares in only one way, i.e., 46593456883600 + 11702638911744 = 6825940^2 + 3420912^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

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, 6383012602 + ... + 6383021734.

Almost surely, 258296095795344 is an apocalyptic number.

58296095795344 is the 7635188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58296095795344

58296095795344 is an abundant number, since it is smaller than the sum of its proper divisors (72746588484905).

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

58296095795344 is an frugal number, since it uses more digits than its factorization.

58296095795344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 2939328000, while the sum is 76.

The spelling of 58296095795344 in words is "fifty-eight trillion, two hundred ninety-six billion, ninety-five million, seven hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1444 1672 1936 2299 2888 3344 3971 4598 5776 7942 9133 9196 15884 18266 18392 31768 36532 36784 43681 63536 73064 87362 100463 146128 173527 174724 200926 347054 349448 401852 694108 698896 803704 1105093 1388216 1607408 1908797 2210186 2776432 3297013 3817594 4420372 6594026 7635188 8840744 13188052 15270376 17681488 20996767 26376104 30540752 36267143 41993534 52752208 72534286 83411689 83987068 145068572 166823378 167974136 290137144 333646756 335948272 398938573 580274288 667293512 797877146 917528579 1334587024 1584822091 1595754292 1835057158 3169644182 3191508584 3670114316 6339288364 6383017168 7340228632 10092814369 12678576728 14680457264 17433043001 20185628738 25357153456 30111619729 34866086002 40371257476 60223239458 69732172004 80742514952 120446478916 139464344008 161485029904 191763473011 240892957832 278928688016 331227817019 383526946022 481785915664 662455634038 767053892044 1324911268076 1534107784088 2649822536152 3068215568176 3643505987209 5299645072304 7287011974418 14574023948836 29148047897672 58296095795344