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18202019191900 = 22521931130803891
BaseRepresentation
bin1000010001101111111001…
…11000110101110001011100
32101110002121000100220202021
410020313330320311301130
54341210213403120100
6102413520413305524
73556024001224435
oct410677470656134
971402530326667
1018202019191900
115888484343195
12205b80b4952a4
13a2059b4a554b
1446cda7b0248c
15218722731a1a
hex108dfce35c5c

18202019191900 has 72 divisors (see below), whose sum is σ = 41710934079360. Its totient is φ = 6875428248000.

The previous prime is 18202019191849. The next prime is 18202019191931. The reversal of 18202019191900 is 919191020281.

It is a happy number.

18202019191900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×182020191919002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14811046 + ... + 15992845.

It is an arithmetic number, because the mean of its divisors is an integer number (579318528880).

Almost surely, 218202019191900 is an apocalyptic number.

18202019191900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18202019191900 is an abundant number, since it is smaller than the sum of its proper divisors (23508914887460).

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

18202019191900 is a wasteful number, since it uses less digits than its factorization.

18202019191900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30804235 (or 30804228 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 43.

The spelling of 18202019191900 in words is "eighteen trillion, two hundred two billion, nineteen million, one hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 311 380 475 622 950 1244 1555 1900 3110 5909 6220 7775 11818 15550 23636 29545 31100 59090 118180 147725 295450 590900 30803891 61607782 123215564 154019455 308038910 585273929 616077820 770097275 1170547858 1540194550 2341095716 2926369645 3080389100 5852739290 9580010101 11705478580 14631848225 19160020202 29263696450 38320040404 47900050505 58527392900 95800101010 182020191919 191600202020 239500252525 364040383838 479000505050 728080767676 910100959595 958001010100 1820201919190 3640403838380 4550504797975 9101009595950 18202019191900