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16169919921 = 347121992
BaseRepresentation
bin11110000111100110…
…10110010110110001
31112201220120001010000
433003303112112301
5231103444414141
611232305300213
71111464023451
oct170363262661
945656501100
1016169919921
116948553191
123173334669
1316a903ac6c
14ad5763d61
156498ac5b6
hex3c3cd65b1

16169919921 has 45 divisors (see below), whose sum is σ = 24623804073. Its totient is φ = 10574708760.

The previous prime is 16169919911. The next prime is 16169919947. The reversal of 16169919921 is 12991996161.

It is a happy number.

The square root of 16169919921 is 127161.

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

16169919921 is a `hidden beast` number, since 1 + 616 + 9 + 9 + 19 + 9 + 2 + 1 = 666.

It is not a de Polignac number, because 16169919921 - 211 = 16169917873 is a prime.

It is a super-2 number, since 2×161699199212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16169919911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81255780 + ... + 81255978.

Almost surely, 216169919921 is an apocalyptic number.

16169919921 is the 127161-st square number.

16169919921 is the 63581-st centered octagonal number.

It is an amenable number.

16169919921 is a deficient number, since it is larger than the sum of its proper divisors (8453884152).

16169919921 is an frugal number, since it uses more digits than its factorization.

16169919921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its digits is 472392, while the sum is 54.

The spelling of 16169919921 in words is "sixteen billion, one hundred sixty-nine million, nine hundred nineteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 71 81 199 213 597 639 1791 1917 5041 5373 5751 14129 15123 16119 39601 42387 45369 118803 127161 136107 356409 381483 408321 1003159 1069227 1144449 2811671 3009477 3207681 8435013 9028431 25305039 27085293 75915117 81255879 199628641 227745351 598885923 1796657769 5389973307 16169919921