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1000420609056 = 253112234248287
BaseRepresentation
bin11101000111011011011…
…01110000110000100000
310112122021000212120122020
432203231231300300200
5112342330133442211
62043330433341440
7132164232604341
oct16435555606040
93478230776566
101000420609056
11356304397790
12141a7aa07880
137345447483b
14365c62540c8
151b05364b306
hexe8edb70c20

1000420609056 has 96 divisors (see below), whose sum is σ = 2877688332288. Its totient is φ = 301798237440.

The previous prime is 1000420608983. The next prime is 1000420609061. The reversal of 1000420609056 is 6509060240001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10004206090562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888656 + ... + 2359631.

It is an arithmetic number, because the mean of its divisors is an integer number (29975920128).

Almost surely, 21000420609056 is an apocalyptic number.

1000420609056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000420609056 is an abundant number, since it is smaller than the sum of its proper divisors (1877267723232).

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

1000420609056 is a wasteful number, since it uses less digits than its factorization.

1000420609056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248534 (or 4248526 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 1000420609056 its reverse (6509060240001), we get a palindrome (7509480849057).

The spelling of 1000420609056 in words is "one trillion, four hundred twenty million, six hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 264 352 446 528 669 892 1056 1338 1784 2453 2676 3568 4906 5352 7136 7359 9812 10704 14718 19624 21408 29436 39248 58872 78496 117744 235488 4248287 8496574 12744861 16993148 25489722 33986296 46731157 50979444 67972592 93462314 101958888 135945184 140193471 186924628 203917776 280386942 373849256 407835552 560773884 747698512 947368001 1121547768 1495397024 1894736002 2243095536 2842104003 3789472004 4486191072 5684208006 7578944008 10421048011 11368416012 15157888016 20842096022 22736832024 30315776032 31263144033 41684192044 45473664048 62526288066 83368384088 90947328096 125052576132 166736768176 250105152264 333473536352 500210304528 1000420609056