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163002266056 = 23761331144161
BaseRepresentation
bin1001011111001110110…
…0010011000111001000
3120120201220112001210001
42113303230103013020
510132312040003211
6202514320132344
714530230254320
oct2276354230710
9516656461701
10163002266056
1163146591083
12277111670b4
13124a9265706
147c6454a280
15439032cac1
hex25f3b131c8

163002266056 has 64 divisors (see below), whose sum is σ = 356091672960. Its totient is φ = 68504832000.

The previous prime is 163002266051. The next prime is 163002266083. The reversal of 163002266056 is 650662200361.

163002266056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (163002266051) 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 15 ways as a sum of consecutive naturals, for example, 1058616 + ... + 1202776.

It is an arithmetic number, because the mean of its divisors is an integer number (5563932390).

Almost surely, 2163002266056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163002266056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178045836480).

163002266056 is an abundant number, since it is smaller than the sum of its proper divisors (193089406904).

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

163002266056 is a wasteful number, since it uses less digits than its factorization.

163002266056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144566 (or 144562 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 163002266056 in words is "one hundred sixty-three billion, two million, two hundred sixty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 331 427 488 662 854 1324 1708 2317 2648 3416 4634 9268 18536 20191 40382 80764 141337 144161 161528 282674 288322 565348 576644 1009127 1130696 1153288 2018254 4036508 8073016 8793821 17587642 35175284 47717291 61556747 70350568 95434582 123113494 190869164 246226988 334021037 381738328 492453976 668042074 1336084148 2672168296 2910754751 5821509502 11643019004 20375283257 23286038008 40750566514 81501133028 163002266056