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325663616340 = 223353171902463
BaseRepresentation
bin1001011110100110001…
…00000110110101010100
31011010121001112211001000
410233103010012311110
520313424341210330
6405335141303300
732346151031256
oct4572304066524
91133531484030
10325663616340
11116127692087
1253148104b30
132492c9a59ca
1411a956b1cd6
158710768560
hex4bd3106d54

325663616340 has 96 divisors (see below), whose sum is σ = 1016372367360. Its totient is φ = 86569630848.

The previous prime is 325663616323. The next prime is 325663616347. The reversal of 325663616340 is 43616366523.

325663616340 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 6 + 3 + 6 + 1 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325663616347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780052 + ... + 1122411.

It is an arithmetic number, because the mean of its divisors is an integer number (10587212160).

Almost surely, 2325663616340 is an apocalyptic number.

325663616340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325663616340 is an abundant number, since it is smaller than the sum of its proper divisors (690708751020).

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

325663616340 is a wasteful number, since it uses less digits than its factorization.

325663616340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902798 (or 1902790 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 325663616340 in words is "three hundred twenty-five billion, six hundred sixty-three million, six hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 317 540 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 8559 9510 11412 14265 17118 19020 28530 34236 42795 57060 85590 171180 1902463 3804926 5707389 7609852 9512315 11414778 17122167 19024630 22829556 28536945 34244334 38049260 51366501 57073890 68488668 85610835 102733002 114147780 171221670 205466004 256832505 342443340 513665010 603080771 1027330020 1206161542 1809242313 2412323084 3015403855 3618484626 5427726939 6030807710 7236969252 9046211565 10855453878 12061615420 16283180817 18092423130 21710907756 27138634695 32566361634 36184846260 54277269390 65132723268 81415904085 108554538780 162831808170 325663616340