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452090921472 = 29321723147233
BaseRepresentation
bin1101001010000101011…
…10000000001000000000
31121012220222211100122200
412211002232000020000
524401340233441342
6543404313233200
744443143266511
oct6450256001000
91535828740580
10452090921472
111648045a2723
1273750402800
133382a63a8b8
1417c4a498a08
15bb5eb1094c
hex6942b80200

452090921472 has 720 divisors, whose sum is σ = 1467453791232. Its totient is φ = 133760286720.

The previous prime is 452090921467. The next prime is 452090921473. The reversal of 452090921472 is 274129090254.

452090921472 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 90 + 92 + 1 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (452090921473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1940304268 + ... + 1940304500.

Almost surely, 2452090921472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452090921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733726895616).

452090921472 is an abundant number, since it is smaller than the sum of its proper divisors (1015362869760).

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

452090921472 is a wasteful number, since it uses less digits than its factorization.

452090921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 452090921472 in words is "four hundred fifty-two billion, ninety million, nine hundred twenty-one thousand, four hundred seventy-two".