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2121578128 = 244153139439
BaseRepresentation
bin111111001110100…
…1011011010010000
312110212010100001201
41332131023122100
513321111000003
6550304440544
7103401054655
oct17635133220
95425110051
102121578128
1199963705a
124b2619154
1327a704697
14161aa5c2c
15c63cab1d
hex7e74b690

2121578128 has 80 divisors (see below), whose sum is σ = 4330972800. Its totient is φ = 1005788160.

The previous prime is 2121578117. The next prime is 2121578141. The reversal of 2121578128 is 8218751212.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4832533 + ... + 4832971.

It is an arithmetic number, because the mean of its divisors is an integer number (54137160).

Almost surely, 22121578128 is an apocalyptic number.

It is an amenable number.

2121578128 is an abundant number, since it is smaller than the sum of its proper divisors (2209394672).

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

2121578128 is a wasteful number, since it uses less digits than its factorization.

2121578128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 17920, while the sum is 37.

The square root of 2121578128 is about 46060.5919197745. The cubic root of 2121578128 is about 1284.9503385855.

The spelling of 2121578128 in words is "two billion, one hundred twenty-one million, five hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 41 53 82 106 139 164 212 278 328 424 439 556 656 848 878 1112 1756 2173 2224 3512 4346 5699 7024 7367 8692 11398 14734 17384 17999 22796 23267 29468 34768 35998 45592 46534 58936 61021 71996 91184 93068 117872 122042 143992 186136 244084 287984 302047 372272 488168 604094 953947 976336 1208188 1907894 2416376 2501861 3234113 3815788 4832752 5003722 6468226 7631576 10007444 12936452 15263152 20014888 25872904 40029776 51745808 132598633 265197266 530394532 1060789064 2121578128