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2121150888 = 23361492441
BaseRepresentation
bin111111001101110…
…0011000110101000
312110211022122000000
41332123203012220
513321003312023
6550251343000
7103364325243
oct17633430650
95424278000
102121150888
1199937506a
124b2451a60
1327a5b508c
141619d425a
15c6344243
hex7e6e31a8

2121150888 has 112 divisors (see below), whose sum is σ = 6005488500. Its totient is φ = 702017280.

The previous prime is 2121150887. The next prime is 2121150901. The reversal of 2121150888 is 8880511212.

It can be written as a sum of positive squares in 2 ways, for example, as 1715450724 + 405700164 = 41418^2 + 20142^2 .

It is a super-4 number, since 4×21211508884 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2121150881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 867748 + ... + 870188.

Almost surely, 22121150888 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 2121150888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002744250).

2121150888 is an abundant number, since it is smaller than the sum of its proper divisors (3884337612).

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

2121150888 is a wasteful number, since it uses less digits than its factorization.

2121150888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 2121150888 is about 46055.9538822072. The cubic root of 2121150888 is about 1284.8640790490.

The spelling of 2121150888 in words is "two billion, one hundred twenty-one million, one hundred fifty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 243 298 324 447 486 596 648 729 894 972 1192 1341 1458 1788 1944 2441 2682 2916 3576 4023 4882 5364 5832 7323 8046 9764 10728 12069 14646 16092 19528 21969 24138 29292 32184 36207 43938 48276 58584 65907 72414 87876 96552 108621 131814 144828 175752 197721 217242 263628 289656 363709 395442 434484 527256 593163 727418 790884 868968 1091127 1186326 1454836 1581768 1779489 2182254 2372652 2909672 3273381 3558978 4364508 4745304 6546762 7117956 8729016 9820143 13093524 14235912 19640286 26187048 29460429 39280572 58920858 78561144 88381287 117841716 176762574 235683432 265143861 353525148 530287722 707050296 1060575444 2121150888