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4500783252000 = 253353717615741
BaseRepresentation
bin100000101111110101110…
…0101100100001000100000
3120221021022022201201221000
41001133223211210020200
51042220101003031000
613323344205032000
7643112414263140
oct101375345441040
916837268651830
104500783252000
1114858538a0972
12608347255600
132685642b4219
14117ba65ac920
157c120758000
hex417eb964220

4500783252000 has 1536 divisors, whose sum is σ = 20153130117120. Its totient is φ = 952197120000.

The previous prime is 4500783251971. The next prime is 4500783252013. The reversal of 4500783252000 is 2523870054.

4500783252000 is a `hidden beast` number, since 4 + 50 + 0 + 7 + 83 + 2 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 783969130 + ... + 783974870.

It is an arithmetic number, because the mean of its divisors is an integer number (13120527420).

Almost surely, 24500783252000 is an apocalyptic number.

4500783252000 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 4500783252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076565058560).

4500783252000 is an abundant number, since it is smaller than the sum of its proper divisors (15652346865120).

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

4500783252000 is a wasteful number, since it uses less digits than its factorization.

4500783252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 4500783252000 in words is "four trillion, five hundred billion, seven hundred eighty-three million, two hundred fifty-two thousand".