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211630555400 = 235211175658571
BaseRepresentation
bin1100010100011000101…
…0100000000100001000
3202020020220020010010112
43011012022200010020
511431404410233100
6241115521133452
721201255016535
oct3050612400410
9666226203115
10211630555400
118182aa27660
123502278a288
1316c58a80114
14a358a0dd8c
155789569b35
hex31462a0108

211630555400 has 96 divisors (see below), whose sum is σ = 568346971680. Its totient is φ = 72429696000.

The previous prime is 211630555399. The next prime is 211630555403. The reversal of 211630555400 is 4555036112.

It is not an unprimeable number, because it can be changed into a prime (211630555403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2791886 + ... + 2866685.

It is an arithmetic number, because the mean of its divisors is an integer number (5920280955).

Almost surely, 2211630555400 is an apocalyptic number.

211630555400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211630555400 is an abundant number, since it is smaller than the sum of its proper divisors (356716416280).

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

211630555400 is a wasteful number, since it uses less digits than its factorization.

211630555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658615 (or 5658606 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 211630555400 in words is "two hundred eleven billion, six hundred thirty million, five hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 5658571 11317142 22634284 28292855 45268568 56585710 62244281 96195707 113171420 124488562 141464275 192391414 226342840 248977124 282928550 311221405 384782828 480978535 497954248 565857100 622442810 769565656 961957070 1058152777 1131714200 1244885620 1556107025 1923914140 2116305554 2404892675 2489771240 3112214050 3847828280 4232611108 4809785350 5290763885 6224428100 8465222216 9619570700 10581527770 12448856200 19239141400 21163055540 26453819425 42326111080 52907638850 105815277700 211630555400