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2153036144 = 247431672677
BaseRepresentation
bin1000000001010100…
…1011100101110000
312120001022120100102
42000111023211300
513402134124034
6553351011532
7104232335210
oct20025134560
95501276312
102153036144
11a05372a16
12501069ba8
1328409a1ac
14165d34240
15c904197e
hex8054b970

2153036144 has 80 divisors (see below), whose sum is σ = 4909352448. Its totient is φ = 895539456.

The previous prime is 2153036099. The next prime is 2153036159. The reversal of 2153036144 is 4416303512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802934 + ... + 805610.

Almost surely, 22153036144 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 2153036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454676224).

2153036144 is an abundant number, since it is smaller than the sum of its proper divisors (2756316304).

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

2153036144 is a wasteful number, since it uses less digits than its factorization.

2153036144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2153036144 is about 46400.8205099867. The cubic root of 2153036144 is about 1291.2701357478.

Adding to 2153036144 its reverse (4416303512), we get a palindrome (6569339656).

The spelling of 2153036144 in words is "two billion, one hundred fifty-three million, thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 167 172 301 334 344 602 668 688 1169 1204 1336 2338 2408 2672 2677 4676 4816 5354 7181 9352 10708 14362 18704 18739 21416 28724 37478 42832 50267 57448 74956 100534 114896 115111 149912 201068 230222 299824 402136 447059 460444 804272 805777 894118 920888 1611554 1788236 1841776 3129413 3223108 3576472 6258826 6446216 7152944 12517652 12892432 19223537 25035304 38447074 50070608 76894148 134564759 153788296 269129518 307576592 538259036 1076518072 2153036144