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162233556540 = 2235111259195241
BaseRepresentation
bin1001011100010111011…
…1111001111000111100
3120111202100001120120020
42113011313321320330
510124223242302130
6202310140052140
714502204322566
oct2270567717074
9514670046506
10162233556540
1162891682260
1227537834050
13123b5c1a003
147bd0408336
154347ad6e10
hex25c5df9e3c

162233556540 has 96 divisors (see below), whose sum is σ = 495945918720. Its totient is φ = 39297907200.

The previous prime is 162233556509. The next prime is 162233556547. The reversal of 162233556540 is 45655332261.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 162233556492 and 162233556501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162233556547) by changing a digit.

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, 733320 + ... + 928560.

It is an arithmetic number, because the mean of its divisors is an integer number (5166103320).

Almost surely, 2162233556540 is an apocalyptic number.

162233556540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162233556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247972959360).

162233556540 is an abundant number, since it is smaller than the sum of its proper divisors (333712362180).

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

162233556540 is a wasteful number, since it uses less digits than its factorization.

162233556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196523 (or 196521 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 162233556540 in words is "one hundred sixty-two billion, two hundred thirty-three million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1259 2518 3777 5036 6295 7554 12590 13849 15108 18885 25180 27698 37770 41547 55396 69245 75540 83094 138490 166188 195241 207735 276980 390482 415470 585723 780964 830940 976205 1171446 1952410 2147651 2342892 2928615 3904820 4295302 5857230 6442953 8590604 10738255 11714460 12885906 21476510 25771812 32214765 42953020 64429530 128859060 245808419 491616838 737425257 983233676 1229042095 1474850514 2458084190 2703892609 2949701028 3687126285 4916168380 5407785218 7374252570 8111677827 10815570436 13519463045 14748505140 16223355654 27038926090 32446711308 40558389135 54077852180 81116778270 162233556540