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1070064044721 = 32743122272
BaseRepresentation
bin11111001001001001100…
…10011000101010110001
310210022000121021200012100
433210210302120222301
5120012442343412341
62135325230051013
7140211120210000
oct17444462305261
93708017250170
101070064044721
113828a2290791
12153476349a69
1379ba2a78179
1439b11770c37
151cc7c7c83b6
hexf924c98ab1

1070064044721 has 135 divisors (see below), whose sum is σ = 1871435247513. Its totient is φ = 589133699280.

The previous prime is 1070064044677. The next prime is 1070064044779. The reversal of 1070064044721 is 1274404600701.

It is a happy number.

The square root of 1070064044721 is 1034439.

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

1070064044721 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 0 + 640 + 4 + 4 + 7 + 2 + 1 = 666.

It is not a de Polignac number, because 1070064044721 - 223 = 1070055656113 is a prime.

It is a super-2 number, since 2×10700640447212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070064044221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4713938410 + ... + 4713938636.

Almost surely, 21070064044721 is an apocalyptic number.

1070064044721 is the 1034439-th square number.

1070064044721 is the 517220-th centered octagonal number.

It is an amenable number.

1070064044721 is a deficient number, since it is larger than the sum of its proper divisors (801371202792).

1070064044721 is an frugal number, since it uses more digits than its factorization.

1070064044721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 1070064044721 by its sum of digits (36), we get a square (38522305609956 = 62066342).

The spelling of 1070064044721 in words is "one trillion, seventy billion, sixty-four million, forty-four thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 227 279 343 441 651 681 961 1029 1519 1589 1953 2043 2401 2883 3087 4557 4767 6727 7037 7203 8649 10633 11123 13671 14301 20181 21111 21609 31899 33369 47089 49259 51529 60543 63333 74431 77861 95697 100107 141267 147777 154587 218147 223293 233583 329623 344813 360703 423801 443331 463761 545027 654441 669879 700749 988869 1034439 1082109 1527029 1597399 1635081 1963323 2307361 2413691 2524921 2966607 3103317 3246327 4581087 4792197 4905243 6922083 7241073 7574763 10689203 11181793 13743261 14376591 16895837 17674447 20766249 21723219 22724289 32067609 33545379 49519369 50687511 53023341 74824421 78272551 96202827 100636137 123721129 148558107 152062533 159070023 224473263 234817653 346635583 371163387 445674321 523770947 547907857 673419789 704452959 1039906749 1113490161 1571312841 1643723571 2426449081 3119720247 3835354999 4713938523 4931170713 7279347243 11506064997 16985143567 21838041729 34518194991 50955430701 118896004969 152866292103 356688014907 1070064044721