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9145954691960 = 2354728191725743
BaseRepresentation
bin1000010100010111010101…
…1000010110101101111000
31012101100022022022101211012
42011011311120112231320
52144321403400120320
631241332114053052
71632526166116442
oct205056530265570
935340268271735
109145954691960
112a06860a97499
12103866987a188
135145c9315b48
142389490cb492
1510cd920864c5
hex85175616b78

9145954691960 has 64 divisors (see below), whose sum is σ = 21023703705600. Its totient is φ = 3579271743616.

The previous prime is 9145954691947. The next prime is 9145954691969. The reversal of 9145954691960 is 691964595419.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9145954691969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4436849 + ... + 6162591.

It is an arithmetic number, because the mean of its divisors is an integer number (328495370400).

Almost surely, 29145954691960 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 9145954691960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511851852800).

9145954691960 is an abundant number, since it is smaller than the sum of its proper divisors (11877749013640).

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

9145954691960 is a wasteful number, since it uses less digits than its factorization.

9145954691960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728620 (or 1728616 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 68.

The spelling of 9145954691960 in words is "nine trillion, one hundred forty-five billion, nine hundred fifty-four million, six hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2819 5638 11276 14095 22552 28190 56380 112760 132493 264986 529972 662465 1059944 1324930 1725743 2649860 3451486 5299720 6902972 8628715 13805944 17257430 34514860 69029720 81109921 162219842 324439684 405549605 648879368 811099210 1622198420 3244396840 4864869517 9729739034 19459478068 24324347585 38918956136 48648695170 97297390340 194594780680 228648867299 457297734598 914595469196 1143244336495 1829190938392 2286488672990 4572977345980 9145954691960