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1070386814025 = 34528322772
BaseRepresentation
bin11111001001110000000…
…01101001110001001001
310210022212002122001110000
433210320001221301021
5120014123011022100
62135421240113213
7140222116541244
oct17447001516111
93708762561400
101070386814025
11382a484a7081
12153546465809
1379c248b8a19
1439b4259025b
151cc9acd3900
hexf938069c49

1070386814025 has 135 divisors (see below), whose sum is σ = 2014173761061. Its totient is φ = 561958896960.

The previous prime is 1070386813981. The next prime is 1070386814039. The reversal of 1070386814025 is 5204186830701.

The square root of 1070386814025 is 1034595.

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

1070386814025 is a `hidden beast` number, since 107 + 0 + 386 + 8 + 140 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245283458121 + 825103355904 = 495261^2 + 908352^2 .

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

It is not a de Polignac number, because 1070386814025 - 227 = 1070252596297 is a prime.

It is a super-2 number, since 2×10703868140252 (a number of 25 digits) contains 22 as substring.

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

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, 3864212187 + ... + 3864212463.

Almost surely, 21070386814025 is an apocalyptic number.

1070386814025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1070386814025 is the 1034595-th square number.

1070386814025 is the 517298-th centered octagonal number.

It is an amenable number.

1070386814025 is a deficient number, since it is larger than the sum of its proper divisors (943786947036).

1070386814025 is an frugal number, since it uses more digits than its factorization.

1070386814025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1070386814025 in words is "one trillion, seventy billion, three hundred eighty-six million, eight hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 135 225 249 277 405 415 675 747 831 1245 1385 2025 2075 2241 2493 3735 4155 6225 6723 6889 6925 7479 11205 12465 18675 20667 20775 22437 22991 33615 34445 37395 56025 62001 62325 68973 76729 103335 112185 114955 168075 172225 186003 186975 206919 230187 310005 344865 383645 516675 558009 560925 574775 620757 690561 930015 1034595 1150935 1550025 1724325 1862271 1908253 1918225 2071683 2790045 3103785 3452805 4650075 5172975 5724759 5754675 6215049 6368507 9311355 9541265 10358415 13950225 15518925 17174277 17264025 19105521 28623795 31075245 31842535 46556775 47706325 51522831 51792075 57316563 85871385 95527605 143118975 154568493 155376225 159212675 171949689 257614155 286582815 429356925 477638025 515849067 528586081 772842465 859748445 1288070775 1432914075 1585758243 2579245335 2642930405 3864212325 4298742225 4757274729 7928791215 12896226675 13214652025 14271824187 23786373645 39643956075 42815472561 71359120935 118931868225 214077362805 356795604675 1070386814025