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42053555200 = 210521642717
BaseRepresentation
bin100111001010100101…
…100101010000000000
311000112210011221122111
4213022211211100000
51142111202231300
631152533345104
73016061215126
oct471245452000
9130483157574
1042053555200
11169201544a8
128197798194
133c7265b297
14206d207916
151161e279ba
hex9ca965400

42053555200 has 66 divisors (see below), whose sum is σ = 104241956126. Its totient is φ = 16821411840.

The previous prime is 42053555183. The next prime is 42053555213. The reversal of 42053555200 is 255535024.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4087812096 + 37965743104 = 63936^2 + 194848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 795759 + ... + 846958.

Almost surely, 242053555200 is an apocalyptic number.

42053555200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42053555200 is an abundant number, since it is smaller than the sum of its proper divisors (62188400926).

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

42053555200 is a wasteful number, since it uses less digits than its factorization.

42053555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642747 (or 1642724 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The spelling of 42053555200 in words is "forty-two billion, fifty-three million, five hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 1642717 3285434 6570868 8213585 13141736 16427170 26283472 32854340 41067925 52566944 65708680 82135850 105133888 131417360 164271700 210267776 262834720 328543400 420535552 525669440 657086800 841071104 1051338880 1314173600 1682142208 2102677760 2628347200 4205355520 5256694400 8410711040 10513388800 21026777600 42053555200