Search a number
-
+
11661762425104 = 2411435961942193
BaseRepresentation
bin1010100110110011011100…
…1101001111000100010000
31112021212001021102000021201
42221230313031033010100
53012031242140100404
640445201213000544
72312351226035551
oct251546715170420
945255037360251
1011661762425104
1137967a895a640
121384164783154
136679129a3a1c
142c460a3a4328
1515353885eca4
hexa9b3734f110

11661762425104 has 160 divisors (see below), whose sum is σ = 25691487782400. Its totient is φ = 5081428961280.

The previous prime is 11661762425029. The next prime is 11661762425123. The reversal of 11661762425104 is 40152426716611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276369832 + ... + 276412024.

It is an arithmetic number, because the mean of its divisors is an integer number (160571798640).

Almost surely, 211661762425104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11661762425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845743891200).

11661762425104 is an abundant number, since it is smaller than the sum of its proper divisors (14029725357296).

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

11661762425104 is a wasteful number, since it uses less digits than its factorization.

11661762425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42933 (or 42927 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 11661762425104 in words is "eleven trillion, six hundred sixty-one billion, seven hundred sixty-two million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 43 44 59 86 88 118 172 176 236 344 472 473 619 649 688 944 946 1238 1298 1892 2476 2537 2596 3784 4952 5074 5192 6809 7568 9904 10148 10384 13618 20296 26617 27236 27907 36521 40592 42193 53234 54472 55814 73042 84386 106468 108944 111628 146084 168772 212936 223256 292168 292787 337544 401731 425872 446512 464123 584336 585574 675088 803462 928246 1171148 1570403 1606924 1814299 1856492 2342296 2489387 3140806 3213848 3628598 3712984 4684592 4978774 6281612 6427696 7257196 7425968 9957548 12563224 14514392 17274433 19915096 19957289 25126448 26117467 27383257 29028784 34548866 39830192 39914578 52234934 54766514 69097732 79829156 104469868 107043641 109533028 138195464 159658312 208939736 214087282 219066056 276390928 287292137 319316624 417879472 428174564 438132112 574584274 856349128 1123051081 1149168548 1177480051 1540930553 1712698256 2246102162 2298337096 2354960102 3081861106 4492204324 4596674192 4709920204 6163722212 8984408648 9419840408 12327444424 12353561891 16950236083 17968817296 18839680816 24654888848 24707123782 33900472166 49414247564 66260013779 67800944332 98828495128 132520027558 135601888664 197656990256 265040055116 271203777328 530080110232 728860151569 1060160220464 1457720303138 2915440606276 5830881212552 11661762425104