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132185190648 = 23372313625883
BaseRepresentation
bin111101100011011011…
…0011111000011111000
3110122012012202102122210
41323012312133003320
54131203402100043
6140420335215120
712356446403400
oct1730666370370
9418165672583
10132185190648
1151072104215
12217506774a0
13c60781c554
14657d7ad800
153689b07633
hex1ec6d9f0f8

132185190648 has 96 divisors (see below), whose sum is σ = 396816744960. Its totient is φ = 36548890560.

The previous prime is 132185190637. The next prime is 132185190659. The reversal of 132185190648 is 846091581231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132185190637) and next prime (132185190659).

It is a super-3 number, since 3×1321851906483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132185190597 and 132185190606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1776486 + ... + 1849397.

It is an arithmetic number, because the mean of its divisors is an integer number (4133507760).

Almost surely, 2132185190648 is an apocalyptic number.

It is an amenable number.

132185190648 is an abundant number, since it is smaller than the sum of its proper divisors (264631554312).

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

132185190648 is a wasteful number, since it uses less digits than its factorization.

132185190648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625937 (or 3625926 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 132185190648 in words is "one hundred thirty-two billion, one hundred eighty-five million, one hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1176 1302 1519 1736 2604 3038 4557 5208 6076 9114 12152 18228 36456 3625883 7251766 10877649 14503532 21755298 25381181 29007064 43510596 50762362 76143543 87021192 101524724 112402373 152287086 177668267 203049448 224804746 304574172 337207119 355336534 449609492 533004801 609148344 674414238 710673068 786816611 899218984 1066009602 1348828476 1421346136 1573633222 2132019204 2360449833 2697656952 3147266444 4264038408 4720899666 5507716277 6294532888 9441799332 11015432554 16523148831 18883598664 22030865108 33046297662 44061730216 66092595324 132185190648