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1189060516072 = 2311131297801379
BaseRepresentation
bin10001010011011001100…
…001111001100011101000
311012200011200010202012001
4101103121201321203220
5123440143443003242
62310125153300344
7151623012423622
oct21233141714350
94180150122161
101189060516072
11419306731990
12172545b646b4
138818808b1b0
144179d6cbc12
1520de4601eb7
hex114d98798e8

1189060516072 has 64 divisors (see below), whose sum is σ = 2621281924800. Its totient is φ = 498521226240.

The previous prime is 1189060516057. The next prime is 1189060516079. The reversal of 1189060516072 is 2706150609811.

It is not an unprimeable number, because it can be changed into a prime (1189060516079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083079 + ... + 1884457.

It is an arithmetic number, because the mean of its divisors is an integer number (40957530075).

Almost surely, 21189060516072 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 1189060516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310640962400).

1189060516072 is an abundant number, since it is smaller than the sum of its proper divisors (1432221408728).

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

1189060516072 is a wasteful number, since it uses less digits than its factorization.

1189060516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802706 (or 802702 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 1189060516072 in words is "one trillion, one hundred eighty-nine billion, sixty million, five hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1297 2594 5188 10376 14267 16861 28534 33722 57068 67444 114136 134888 185471 370942 741884 801379 1483768 1602758 3205516 6411032 8815169 10417927 17630338 20835854 35260676 41671708 70521352 83343416 114597197 229194394 458388788 916777576 1039388563 2078777126 4157554252 8315108504 11433274193 13512051319 22866548386 27024102638 45733096772 54048205276 91466193544 108096410552 148632564509 297265129018 594530258036 1189060516072