Search a number
-
+
10072505241999 = 327345673356921
BaseRepresentation
bin1001001010010011000000…
…0110001101000110001111
31022122220220012122011122200
42102210300012031012033
52310011442320220444
633231124532012543
72056500032624424
oct222446006150617
938586805564580
1010072505241999
1132337a868a522
121168151761153
13580aaa619295
1426b72475bd4b
15127020467969
hex9293018d18f

10072505241999 has 24 divisors (see below), whose sum is σ = 14751711747552. Its totient is φ = 6621564983040.

The previous prime is 10072505241991. The next prime is 10072505242021. The reversal of 10072505241999 is 99914250527001.

It is a happy number.

10072505241999 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 505 + 2 + 41 + 9 + 99 = 666.

It is not a de Polignac number, because 10072505241999 - 23 = 10072505241991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072505241991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322059 + ... + 4678979.

It is an arithmetic number, because the mean of its divisors is an integer number (614654656148).

Almost surely, 210072505241999 is an apocalyptic number.

10072505241999 is a deficient number, since it is larger than the sum of its proper divisors (4679206505553).

10072505241999 is a wasteful number, since it uses less digits than its factorization.

10072505241999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361567 (or 3361564 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 10072505241999 in words is "ten trillion, seventy-two billion, five hundred five million, two hundred forty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 73 219 657 4567 13701 41103 333391 1000173 3000519 3356921 10070763 30212289 245055233 735165699 2205497097 15331058207 45993174621 137979523863 1119167249111 3357501747333 10072505241999