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70705469025 = 34521923112
BaseRepresentation
bin100000111011001011…
…1111101011001100001
320202111120210222110000
41001312113331121201
52124301100002100
652252011330213
75052101366442
oct1016627753141
9222446728400
1070705469025
1127a93437424
1211853150969
13688a650149
1435ca5b52c9
151c8c513900
hex10765fd661

70705469025 has 135 divisors (see below), whose sum is σ = 138672868323. Its totient is φ = 35609997600.

The previous prime is 70705468993. The next prime is 70705469039. The reversal of 70705469025 is 52096450707.

The square root of 70705469025 is 265905.

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., 25453968849 + 45251500176 = 159543^2 + 212724^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 70705469025 - 25 = 70705468993 is a prime.

It is a super-3 number, since 3×707054690253 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 227348620 + ... + 227348930.

Almost surely, 270705469025 is an apocalyptic number.

70705469025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70705469025 is the 265905-th square number.

70705469025 is the 132953-rd centered octagonal number.

It is an amenable number.

70705469025 is a deficient number, since it is larger than the sum of its proper divisors (67967399298).

70705469025 is an equidigital number, since it uses as much as digits as its factorization.

70705469025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 70705469025 in words is "seventy billion, seven hundred five million, four hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 311 361 405 475 513 675 855 933 1083 1425 1539 1555 1805 2025 2565 2799 3249 4275 4665 5415 5909 7695 7775 8397 9025 9747 12825 13995 16245 17727 23325 25191 27075 29241 29545 38475 41985 48735 53181 69975 81225 88635 96721 112271 125955 146205 147725 159543 209925 243675 265905 290163 336813 443175 478629 483605 561355 629775 731025 797715 870489 1010439 1329525 1450815 1684065 1837699 2393145 2418025 2611467 2806775 3031317 3988575 4352445 5052195 5513097 7254075 7834401 8420325 9093951 9188495 11965725 13057335 15156585 16539291 21762225 25260975 27565485 34916281 39172005 45469755 45942475 49617873 65286675 75782925 82696455 104748843 137827425 148853619 174581405 195860025 227348775 248089365 314246529 413482275 523744215 744268095 872907025 942739587 1240446825 1571232645 2618721075 2828218761 3721340475 4713697935 7856163225 14141093805 23568489675 70705469025