Search a number
-
+
102801750064 = 24133538271693
BaseRepresentation
bin101111110111101110…
…1100011100000110000
3100211100102121222210121
41133233131203200300
53141014222000224
6115120530140024
710266344313016
oct1375735434060
9324312558717
10102801750064
113a6639a9422
1217b10121614
139904100410
144d931bc8b6
152a1a1bcbe4
hex17ef763830

102801750064 has 80 divisors (see below), whose sum is σ = 215494769952. Its totient is φ = 47227428864.

The previous prime is 102801750043. The next prime is 102801750071. The reversal of 102801750064 is 460057108201.

It is a super-2 number, since 2×1028017500642 (a number of 23 digits) contains 22 as substring.

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, 60720802 + ... + 60722494.

Almost surely, 2102801750064 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 102801750064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107747384976).

102801750064 is an abundant number, since it is smaller than the sum of its proper divisors (112693019888).

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

102801750064 is a wasteful number, since it uses less digits than its factorization.

102801750064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

Adding to 102801750064 its reverse (460057108201), we get a palindrome (562858858265).

The spelling of 102801750064 in words is "one hundred two billion, eight hundred one million, seven hundred fifty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 827 1412 1654 1693 2824 3308 3386 4589 5648 6616 6772 9178 10751 13232 13544 18356 21502 22009 27088 36712 43004 44018 73424 86008 88036 172016 176072 291931 352144 583862 597629 1167724 1195258 1400111 2335448 2390516 2800222 3795103 4670896 4781032 5600444 7590206 7769177 9562064 11200888 15180412 15538354 18201443 22401776 30360824 31076708 36402886 60721648 62153416 72805772 124306832 145611544 291223088 494239183 988478366 1976956732 3953913464 6425109379 7907826928 12850218758 25700437516 51400875032 102801750064