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42520420000 = 255419111131
BaseRepresentation
bin100111100110011010…
…100001111010100000
311001202022200010202101
4213212122201322200
51144040211420000
631311132100144
73033460415032
oct474632417240
9131668603671
1042520420000
111703a739983
1282a8004654
1340182b1346
1420b5215c52
15118cde7e6a
hex9e66a1ea0

42520420000 has 120 divisors (see below), whose sum is σ = 105163736832. Its totient is φ = 16917600000.

The previous prime is 42520419983. The next prime is 42520420003. The reversal of 42520420000 is 2402524.

It is a super-2 number, since 2×425204200002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42520420000.

It is not an unprimeable number, because it can be changed into a prime (42520420003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3814435 + ... + 3825565.

Almost surely, 242520420000 is an apocalyptic number.

42520420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42520420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52581868416).

42520420000 is an abundant number, since it is smaller than the sum of its proper divisors (62643316832).

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

42520420000 is a wasteful number, since it uses less digits than its factorization.

42520420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 42520420000 its reverse (2402524), we get a palindrome (42522822524).

The spelling of 42520420000 in words is "forty-two billion, five hundred twenty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 625 764 800 955 1000 1250 1528 1910 2000 2500 3056 3820 4000 4775 5000 6112 7640 9550 10000 11131 15280 19100 20000 22262 23875 30560 38200 44524 47750 55655 76400 89048 95500 111310 119375 152800 178096 191000 222620 238750 278275 356192 382000 445240 477500 556550 764000 890480 955000 1113100 1391375 1780960 1910000 2126021 2226200 2782750 3820000 4252042 4452400 5565500 6956875 8504084 8904800 10630105 11131000 13913750 17008168 21260210 22262000 27827500 34016336 42520420 44524000 53150525 55655000 68032672 85040840 106301050 111310000 170081680 212602100 222620000 265752625 340163360 425204200 531505250 850408400 1063010500 1328763125 1700816800 2126021000 2657526250 4252042000 5315052500 8504084000 10630105000 21260210000 42520420000