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19776680621604 = 2234172145332
BaseRepresentation
bin1000111111100100111100…
…00001011111011000100100
32121000122001212122122210000
410133302132001133120210
510043010120214342404
6110021140500501300
74110550403435634
oct437623601373044
977018055578700
1019776680621604
1163352746a7795
122274a2a3aa830
13b05c189b140a
144c52a70b26c4
15244684566339
hex11fc9e05f624

19776680621604 has 135 divisors (see below), whose sum is σ = 54924007436067. Its totient is φ = 6204021901056.

The previous prime is 19776680621549. The next prime is 19776680621609. The reversal of 19776680621604 is 40612608667791.

It is a happy number.

The square root of 19776680621604 is 4447098.

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

19776680621604 is a `hidden beast` number, since 19 + 7 + 7 + 6 + 6 + 8 + 0 + 6 + 2 + 1 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2574426668004 + 17202253953600 = 1604502^2 + 4147560^2 .

It is a super-2 number, since 2×197766806216042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19776680621609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1360804722 + ... + 1360819254.

Almost surely, 219776680621604 is an apocalyptic number.

19776680621604 is the 4447098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19776680621604

19776680621604 is an abundant number, since it is smaller than the sum of its proper divisors (35147326814463).

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

19776680621604 is an frugal number, since it uses more digits than its factorization.

19776680621604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 14555 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 19776680621604 in words is "nineteen trillion, seven hundred seventy-six billion, six hundred eighty million, six hundred twenty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 14533 15606 23409 29066 31212 43599 46818 58132 87198 93636 130797 174396 247061 261594 392391 494122 523188 741183 784782 988244 1177173 1482366 1569564 2223549 2354346 2964732 4200037 4447098 4708692 6670647 8400074 8894196 12600111 13341294 16800148 20011941 25200222 26682588 37800333 40023882 50400444 75600666 80047764 113400999 151201332 211208089 226801998 340202997 422416178 453603996 633624267 680405994 844832356 1267248534 1360811988 1900872801 2534497068 3590537513 3801745602 5702618403 7181075026 7603491204 10771612539 11405236806 14362150052 17107855209 21543225078 22810473612 32314837617 34215710418 43086450156 61039137721 64629675234 68431420836 96944512851 122078275442 129259350468 183117413163 193889025702 244156550884 290833538553 366234826326 387778051404 549352239489 581667077106 732469652652 1098704478978 1163334154212 1648056718467 2197408957956 3296113436934 4944170155401 6592226873868 9888340310802 19776680621604