Search a number
-
+
19950665536560 = 243511219231572097
BaseRepresentation
bin1001000100101001000000…
…10101010001010000110000
32121122021011011222002120010
410202110200111101100300
510103332430334132220
6110233113105214520
74126250043011643
oct442244025212060
977567134862503
1019950665536560
1163a2036645500
1222a26a5631440
13b194553a7935
144cd890093a5a
15248e68b571e0
hex122520551430

19950665536560 has 480 divisors, whose sum is σ = 74669875822080. Its totient is φ = 4382752112640.

The previous prime is 19950665536553. The next prime is 19950665536561. The reversal of 19950665536560 is 6563556605991.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 19950665536491 and 19950665536500.

It is not an unprimeable number, because it can be changed into a prime (19950665536561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11904432 + ... + 13476528.

It is an arithmetic number, because the mean of its divisors is an integer number (155562241296).

Almost surely, 219950665536560 is an apocalyptic number.

19950665536560 is a gapful number since it is divisible by the number (10) 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 19950665536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37334937911040).

19950665536560 is an abundant number, since it is smaller than the sum of its proper divisors (54719210285520).

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

19950665536560 is a wasteful number, since it uses less digits than its factorization.

19950665536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572177 (or 1572160 counting only the distinct ones).

The product of its (nonzero) digits is 196830000, while the sum is 66.

The spelling of 19950665536560 in words is "nineteen trillion, nine hundred fifty billion, six hundred sixty-five million, five hundred thirty-six thousand, five hundred sixty".