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12005451520 = 28573128483
BaseRepresentation
bin10110010111001010…
…01010011100000000
31010222200101010102121
423023211022130000
5144041343422040
65303142254024
7603335440246
oct131345123400
933880333377
1012005451520
115100845467
1223b0727314
131194322c8a
1481c63a796
154a3e9ac4a
hex2cb94a700

12005451520 has 72 divisors (see below), whose sum is σ = 29150963856. Its totient is φ = 4736360448.

The previous prime is 12005451517. The next prime is 12005451553. The reversal of 12005451520 is 2515450021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29199 + ... + 157681.

It is an arithmetic number, because the mean of its divisors is an integer number (404874498).

Almost surely, 212005451520 is an apocalyptic number.

12005451520 is a gapful number since it is divisible by the number (10) 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 12005451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575481928).

12005451520 is an abundant number, since it is smaller than the sum of its proper divisors (17145512336).

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

12005451520 is an equidigital number, since it uses as much as digits as its factorization.

12005451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128577 (or 128563 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 12005451520 in words is "twelve billion, five million, four hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1168 1280 1460 2336 2920 4672 5840 9344 11680 18688 23360 46720 93440 128483 256966 513932 642415 1027864 1284830 2055728 2569660 4111456 5139320 8222912 9379259 10278640 16445824 18758518 20557280 32891648 37517036 41114560 46896295 75034072 82229120 93792590 150068144 164458240 187585180 300136288 375170360 600272576 750340720 1200545152 1500681440 2401090304 3001362880 6002725760 12005451520