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453570002000 = 24531006122541
BaseRepresentation
bin1101001100110101110…
…00001111110001010000
31121100202001222102200222
412212122320033301100
524412402410031000
6544211151132212
744524613255603
oct6463270176120
91540661872628
10453570002000
111653a3494825
1273aa3814068
1333a04bb708b
1417d4aab433a
15bbe98c6a85
hex699ae0fc50

453570002000 has 80 divisors (see below), whose sum is σ = 1096889932944. Its totient is φ = 181401920000.

The previous prime is 453570001991. The next prime is 453570002003. The reversal of 453570002000 is 200075354.

It can be written as a sum of positive squares in 8 ways, for example, as 72688473664 + 380881528336 = 269608^2 + 617156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453570002003) by changing a digit.

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, 20110730 + ... + 20133270.

Almost surely, 2453570002000 is an apocalyptic number.

453570002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

453570002000 is an abundant number, since it is smaller than the sum of its proper divisors (643319930944).

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

453570002000 is a wasteful number, since it uses less digits than its factorization.

453570002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32625 (or 32609 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

Adding to 453570002000 its reverse (200075354), we get a palindrome (453770077354).

The spelling of 453570002000 in words is "four hundred fifty-three billion, five hundred seventy million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10061 20122 22541 40244 45082 50305 80488 90164 100610 112705 160976 180328 201220 225410 251525 360656 402440 450820 503050 563525 804880 901640 1006100 1127050 1257625 1803280 2012200 2254100 2515250 2817625 4024400 4508200 5030500 5635250 9016400 10061000 11270500 20122000 22541000 45082000 226785001 453570002 907140004 1133925005 1814280008 2267850010 3628560016 4535700020 5669625025 9071400040 11339250050 18142800080 22678500100 28348125125 45357000200 56696250250 90714000400 113392500500 226785001000 453570002000