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11190988007964 = 22331513312073193
BaseRepresentation
bin1010001011011001101011…
…0111010110101000011100
31110121211220012021201211000
42202312122313112220130
52431323120412223324
635445022515230300
72233344054362142
oct242663267265034
943554805251730
1011190988007964
113625086a89106
121308a7b2a8390
136323c865475b
142a990a7dd592
151461838839c9
hexa2d9add6a1c

11190988007964 has 96 divisors (see below), whose sum is σ = 29294065364480. Its totient is φ = 3694428144000.

The previous prime is 11190988007951. The next prime is 11190988008007. The reversal of 11190988007964 is 46970088909111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4361352 + ... + 6434544.

Almost surely, 211190988007964 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 11190988007964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647032682240).

11190988007964 is an abundant number, since it is smaller than the sum of its proper divisors (18103077356516).

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

11190988007964 is a wasteful number, since it uses less digits than its factorization.

11190988007964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073688 (or 2073680 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 11190988007964 in words is "eleven trillion, one hundred ninety billion, nine hundred eighty-eight million, seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 331 453 604 662 906 993 1324 1359 1812 1986 2718 2979 3972 4077 5436 5958 8154 8937 11916 16308 17874 35748 49981 99962 149943 199924 299886 449829 599772 899658 1349487 1799316 2073193 2698974 4146386 5397948 6219579 8292772 12439158 18658737 24878316 37317474 55976211 74634948 111952422 223904844 313052143 626104286 686226883 939156429 1252208572 1372453766 1878312858 2058680649 2744907532 2817469287 3756625716 4117361298 5634938574 6176041947 8234722596 8452407861 11269877148 12352083894 16904815722 18528125841 24704167788 33809631444 37056251682 74112503364 103620259333 207240518666 310860777999 414481037332 621721555998 932582333997 1243443111996 1865164667994 2797747001991 3730329335988 5595494003982 11190988007964