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16506655145 = 529412241281
BaseRepresentation
bin11110101111101111…
…11001000110101001
31120121101011221222222
433113313321012221
5232301200431040
611325534523425
71123023153011
oct172767710651
946541157888
1016506655145
117000638362
123248066575
131730a2b586
14b2837ac41
15669225bb5
hex3d7df91a9

16506655145 has 48 divisors (see below), whose sum is σ = 21165194160. Its totient is φ = 12343296000.

The previous prime is 16506655093. The next prime is 16506655153. The reversal of 16506655145 is 54155660561.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 14184571801 + 2322083344 = 119099^2 + 48188^2 .

It is not a de Polignac number, because 16506655145 - 28 = 16506654889 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16506655096 and 16506655105.

It is a congruent number.

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, 58742405 + ... + 58742685.

It is an arithmetic number, because the mean of its divisors is an integer number (440941545).

Almost surely, 216506655145 is an apocalyptic number.

It is an amenable number.

16506655145 is a deficient number, since it is larger than the sum of its proper divisors (4658539015).

16506655145 is a wasteful number, since it uses less digits than its factorization.

16506655145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 16506655145 in words is "sixteen billion, five hundred six million, six hundred fifty-five thousand, one hundred forty-five".

Divisors: 1 5 29 41 145 205 241 281 1189 1205 1405 1681 5945 6989 8149 8405 9881 11521 34945 40745 48749 49405 57605 67721 243745 286549 334109 338605 405121 472361 1432745 1670545 1963909 2025605 2361805 2776561 9819545 11748509 13698469 13882805 58742545 68492345 80520269 113839001 402601345 569195005 3301331029 16506655145