Search a number
-
+
2020214232448 = 2743988337139
BaseRepresentation
bin11101011001011110001…
…001101101010110000000
321011010112012111020212221
4131121132021231112000
5231044344320414243
64144023522100424
7265645535434246
oct35313611552600
97133465436787
102020214232448
1170984a2a3915
122876457aa714
1311867543a469
146dac93c0796
153783c964bed
hex1d65e26d580

2020214232448 has 64 divisors (see below), whose sum is σ = 4118769547200. Its totient is φ = 986489860608.

The previous prime is 2020214232433. The next prime is 2020214232467. The reversal of 2020214232448 is 8442324120202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54377463 + ... + 54414601.

It is an arithmetic number, because the mean of its divisors is an integer number (64355774175).

Almost surely, 22020214232448 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 2020214232448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059384773600).

2020214232448 is an abundant number, since it is smaller than the sum of its proper divisors (2098555314752).

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

2020214232448 is an equidigital number, since it uses as much as digits as its factorization.

2020214232448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47079 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The spelling of 2020214232448 in words is "two trillion, twenty billion, two hundred fourteen million, two hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 9883 19766 37139 39532 74278 79064 148556 158128 297112 316256 424969 594224 632512 849938 1188448 1265024 1596977 1699876 2376896 3193954 3399752 4753792 6387908 6799504 12775816 13599008 25551632 27198016 51103264 54396032 102206528 204413056 367044737 734089474 1468178948 2936357896 5872715792 11745431584 15782923691 23490863168 31565847382 46981726336 63131694764 126263389528 252526779056 505053558112 1010107116224 2020214232448