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10181932155396 = 2238196972
BaseRepresentation
bin1001010000101010101001…
…1100110000001000000100
31100001101100100200100000000
42110022222130300020010
52313310044112433041
633353303130321300
72100422525220441
oct224125234601004
940041310610000
1010181932155396
113276151294141
1211853b0589230
1358b1c9181691
14272b457a29c8
15129cc70abbb6
hex942aa730204

10181932155396 has 81 divisors (see below), whose sum is σ = 26727570942709. Its totient is φ = 3393805075776.

The previous prime is 10181932155389. The next prime is 10181932155419. The reversal of 10181932155396 is 69355123918101.

It is a happy number.

The square root of 10181932155396 is 3190914.

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

10181932155396 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 93 + 2 + 15 + 539 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1366163568900 + 8815768586496 = 1168830^2 + 2969136^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516918220 + ... + 516937916.

Almost surely, 210181932155396 is an apocalyptic number.

10181932155396 is the 3190914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10181932155396

10181932155396 is an abundant number, since it is smaller than the sum of its proper divisors (16545638787313).

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

10181932155396 is an frugal number, since it uses more digits than its factorization.

10181932155396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 19702 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 10181932155396 in words is "ten trillion, one hundred eighty-one billion, nine hundred thirty-two million, one hundred fifty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19697 26244 39394 59091 78788 118182 177273 236364 354546 531819 709092 1063638 1595457 2127276 3190914 4786371 6381828 9572742 14359113 19145484 28718226 43077339 57436452 86154678 129232017 172309356 258464034 387971809 516928068 775943618 1163915427 1551887236 2327830854 3491746281 4655661708 6983492562 10475238843 13966985124 20950477686 31425716529 41900955372 62851433058 94277149587 125702866116 188554299174 282831448761 377108598348 565662897522 848494346283 1131325795044 1696988692566 2545483038849 3393977385132 5090966077698 10181932155396