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4545961920 = 26335412313
BaseRepresentation
bin1000011101111010…
…11101111111000000
3102201211000210102000
410032331131333000
533302231240140
62031031424000
7220440016203
oct41675357700
912654023360
104545961920
111a23093525
12a6a525000
13575a79bc6
14311a7193a
151b916ba30
hex10ef5dfc0

4545961920 has 336 divisors, whose sum is σ = 16490350560. Its totient is φ = 1178910720.

The previous prime is 4545961909. The next prime is 4545961933. The reversal of 4545961920 is 291695454.

4545961920 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 9 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14523684 + ... + 14523996.

Almost surely, 24545961920 is an apocalyptic number.

4545961920 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 4545961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245175280).

4545961920 is an abundant number, since it is smaller than the sum of its proper divisors (11944388640).

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

4545961920 is a wasteful number, since it uses less digits than its factorization.

4545961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4545961920 is about 67423.7489316635. The cubic root of 4545961920 is about 1656.5654443771.

The spelling of 4545961920 in words is "four billion, five hundred forty-five million, nine hundred sixty-one thousand, nine hundred twenty".