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2073204672 = 2637111773113
BaseRepresentation
bin111101110010010…
…1001011111000000
312100111002201011020
41323210221133000
513221220022142
6541415545440
7102242643330
oct17344513700
95314081136
102073204672
119742a73a0
1249a38b280
13270698736
141594b30c0
15c2022cec
hex7b9297c0

2073204672 has 448 divisors, whose sum is σ = 7405323264. Its totient is φ = 495452160.

The previous prime is 2073204667. The next prime is 2073204673. The reversal of 2073204672 is 2764023702.

2073204672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20732046722 = 8596355224005255168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073204673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18346888 + ... + 18347000.

Almost surely, 22073204672 is an apocalyptic number.

2073204672 is a gapful number since it is divisible by the number (22) 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 2073204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702661632).

2073204672 is an abundant number, since it is smaller than the sum of its proper divisors (5332118592).

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

2073204672 is a wasteful number, since it uses less digits than its factorization.

2073204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 2073204672 is about 45532.4573463809. The cubic root of 2073204672 is about 1275.1092403134.

The spelling of 2073204672 in words is "two billion, seventy-three million, two hundred four thousand, six hundred seventy-two".