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20431544768145 = 3257312092324093
BaseRepresentation
bin1001010010101000101101…
…11101111101011010010001
32200100020101111002010112200
410221110112331331122101
510134222300430040040
6111242042212113413
74206062504023650
oct451242675753221
980306344063480
1020431544768145
116567a73410655
12235b92b005869
13b528c0052354
14508c6baa3197
15256710ce7630
hex129516f7d691

20431544768145 has 48 divisors (see below), whose sum is σ = 41779527508992. Its totient is φ = 9038840077440.

The previous prime is 20431544768113. The next prime is 20431544768153. The reversal of 20431544768145 is 54186744513402.

20431544768145 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 1 + 54 + 476 + 81 + 45 = 666.

It is not a de Polignac number, because 20431544768145 - 25 = 20431544768113 is a prime.

It is a super-2 number, since 2×204315447681452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20431544768091 and 20431544768100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046152282 + ... + 1046171811.

It is an arithmetic number, because the mean of its divisors is an integer number (870406823104).

Almost surely, 220431544768145 is an apocalyptic number.

It is an amenable number.

20431544768145 is an abundant number, since it is smaller than the sum of its proper divisors (21347982740847).

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

20431544768145 is a wasteful number, since it uses less digits than its factorization.

20431544768145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092324142 (or 2092324139 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 20431544768145 in words is "twenty trillion, four hundred thirty-one billion, five hundred forty-four million, seven hundred sixty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 2092324093 6276972279 10461620465 14646268651 18830916837 31384861395 43938805953 64862046883 73231343255 94154584185 131816417859 194586140649 219694029765 324310234415 454034328181 583758421947 659082089295 972930703245 1362102984543 2270171640905 2918792109735 4086308953629 6810514922715 20431544768145