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2135631872 = 21111472017
BaseRepresentation
bin111111101001011…
…0010100000000000
312111211120100011202
41333102302200000
513333210204442
6551530000332
7103631366663
oct17722624000
95454510152
102135631872
119a6565920
124b72760a8
132805b53ca
141638c36da
15c7754c32
hex7f4b2800

2135631872 has 96 divisors (see below), whose sum is σ = 4759896960. Its totient is φ = 949616640.

The previous prime is 2135631859. The next prime is 2135631893. The reversal of 2135631872 is 2781365312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057808 + ... + 1059824.

It is an arithmetic number, because the mean of its divisors is an integer number (49582260).

Almost surely, 22135631872 is an apocalyptic number.

2135631872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379948480).

2135631872 is an abundant number, since it is smaller than the sum of its proper divisors (2624265088).

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

2135631872 is a wasteful number, since it uses less digits than its factorization.

2135631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2077 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 2135631872 is about 46212.8972474135. The cubic root of 2135631872 is about 1287.7813499192.

The spelling of 2135631872 in words is "two billion, one hundred thirty-five million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1024 1034 1408 1504 2017 2048 2068 2816 3008 4034 4136 5632 6016 8068 8272 11264 12032 16136 16544 22187 22528 24064 32272 33088 44374 48128 64544 66176 88748 94799 96256 129088 132352 177496 189598 258176 264704 354992 379196 516352 529408 709984 758392 1032704 1042789 1058816 1419968 1516784 2065408 2085578 2839936 3033568 4130816 4171156 5679872 6067136 8342312 11359744 12134272 16684624 22719488 24268544 33369248 45438976 48537088 66738496 97074176 133476992 194148352 266953984 533907968 1067815936 2135631872