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2153719048 = 2313311973391
BaseRepresentation
bin1000000001011111…
…0010010100001000
312120002121021010011
42000113302110020
513402323002143
6553413401304
7104241211165
oct20027622410
95502537104
102153719048
11a05799aa8
12501339234
13284278c90
1416607106c
15c9128e9d
hex805f2508

2153719048 has 64 divisors (see below), whose sum is σ = 4513259520. Its totient is φ = 956793600.

The previous prime is 2153719021. The next prime is 2153719063. The reversal of 2153719048 is 8409173512.

It is a self number, because there is not a number n which added to its sum of digits gives 2153719048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633433 + ... + 636823.

It is an arithmetic number, because the mean of its divisors is an integer number (70519680).

Almost surely, 22153719048 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 2153719048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256629760).

2153719048 is an abundant number, since it is smaller than the sum of its proper divisors (2359540472).

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

2153719048 is a wasteful number, since it uses less digits than its factorization.

2153719048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 2153719048 is about 46408.1786757464. The cubic root of 2153719048 is about 1291.4066438022.

The spelling of 2153719048 in words is "two billion, one hundred fifty-three million, seven hundred nineteen thousand, forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 197 248 394 403 788 806 1576 1612 2561 3224 3391 5122 6107 6782 10244 12214 13564 20488 24428 27128 44083 48856 79391 88166 105121 158782 176332 210242 317564 352664 420484 635128 668027 840968 1336054 1366573 2672108 2733146 5344216 5466292 8684351 10932584 17368702 20708837 34737404 41417674 69474808 82835348 165670696 269214881 538429762 1076859524 2153719048