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2073062576640 = 29351193726189
BaseRepresentation
bin11110001010101100001…
…010001001001000000000
321100011221021222022012010
4132022230022021020000
5232431113004423030
64224203553332520
7302526265105416
oct36125412111000
97304837868163
102073062576640
1172a1a9864030
12295934567140
13120648332c43
14724a011b2b6
1538dd23e36b0
hex1e2ac289200

2073062576640 has 320 divisors, whose sum is σ = 7237798001280. Its totient is φ = 502005104640.

The previous prime is 2073062576591. The next prime is 2073062576743. The reversal of 2073062576640 is 466752603702.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2073062576640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79144666 + ... + 79170854.

It is an arithmetic number, because the mean of its divisors is an integer number (22618118754).

Almost surely, 22073062576640 is an apocalyptic number.

2073062576640 is a gapful number since it is divisible by the number (20) 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 2073062576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618899000640).

2073062576640 is an abundant number, since it is smaller than the sum of its proper divisors (5164735424640).

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

2073062576640 is a wasteful number, since it uses less digits than its factorization.

2073062576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27163 (or 27147 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 2073062576640 in words is "two trillion, seventy-three billion, sixty-two million, five hundred seventy-six thousand, six hundred forty".