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2020443350304 = 253233599150797
BaseRepresentation
bin11101011001101011110…
…011101110010100100000
321011011010011121122111110
4131121223303232110200
5231100331444202204
64144102344543320
7265654320054321
oct35315363562440
97134104548443
102020443350304
11709957664515
122876aa481b40
131186b0a4b062
146db0b9c2448
1537852b21889
hex1d66bcee520

2020443350304 has 96 divisors (see below), whose sum is σ = 5335353878400. Its totient is φ = 669466683392.

The previous prime is 2020443350267. The next prime is 2020443350327. The reversal of 2020443350304 is 4030533440202.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13323034 + ... + 13473830.

It is an arithmetic number, because the mean of its divisors is an integer number (55576602900).

Almost surely, 22020443350304 is an apocalyptic number.

2020443350304 is a gapful number since it is divisible by the number (24) 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 2020443350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667676939200).

2020443350304 is an abundant number, since it is smaller than the sum of its proper divisors (3314910528096).

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

2020443350304 is a wasteful number, since it uses less digits than its factorization.

2020443350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151642 (or 151634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2020443350304 its reverse (4030533440202), we get a palindrome (6050976790506).

The spelling of 2020443350304 in words is "two trillion, twenty billion, four hundred forty-three million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 599 699 932 1198 1398 1797 1864 2396 2796 3594 3728 4792 5592 7188 7456 9584 11184 14376 19168 22368 28752 57504 139567 150797 279134 301594 418701 452391 558268 603188 837402 904782 1116536 1206376 1674804 1809564 2233072 2412752 3349608 3619128 4466144 4825504 6699216 7238256 13398432 14476512 35135701 70271402 90327403 105407103 140542804 180654806 210814206 270982209 281085608 361309612 421628412 541964418 562171216 722619224 843256824 1083928836 1124342432 1445238448 1686513648 2167857672 2890476896 3373027296 4335715344 8671430688 21046284899 42092569798 63138854697 84185139596 126277709394 168370279192 252555418788 336740558384 505110837576 673481116768 1010221675152 2020443350304