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126428972200 = 23521061595801
BaseRepresentation
bin111010110111111000…
…0010000010010101000
3110002100001102020101221
41311233300100102220
54032411304102300
6134025231351424
712064012350406
oct1655760202250
9402301366357
10126428972200
114968894a093
1220604982574
13bbcb0c992b
1461950dc476
15344e5c631a
hex1d6fc104a8

126428972200 has 48 divisors (see below), whose sum is σ = 294224901660. Its totient is φ = 50523840000.

The previous prime is 126428972191. The next prime is 126428972231. The reversal of 126428972200 is 2279824621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 32899429924 + 93529542276 = 181382^2 + 305826^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 85701 + ... + 510100.

Almost surely, 2126428972200 is an apocalyptic number.

126428972200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126428972200 is an abundant number, since it is smaller than the sum of its proper divisors (167795929460).

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

126428972200 is a wasteful number, since it uses less digits than its factorization.

126428972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596878 (or 596869 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 126428972200 in words is "one hundred twenty-six billion, four hundred twenty-eight million, nine hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1061 2122 4244 5305 8488 10610 21220 26525 42440 53050 106100 212200 595801 1191602 2383204 2979005 4766408 5958010 11916020 14895025 23832040 29790050 59580100 119160200 632144861 1264289722 2528579444 3160724305 5057158888 6321448610 12642897220 15803621525 25285794440 31607243050 63214486100 126428972200