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194884138152 = 233211227318191
BaseRepresentation
bin1011010101111111111…
…1111111010010101000
3200122000210212222100200
42311133333333102220
511143110314410102
6225310055232200
720036260561614
oct2653777772250
9618023788320
10194884138152
1175717019500
123192a378660
13154ba4850a2
14960a8a0344
15510928351c
hex2d5ffff4a8

194884138152 has 144 divisors (see below), whose sum is σ = 580439408640. Its totient is φ = 59026968000.

The previous prime is 194884138087. The next prime is 194884138159. The reversal of 194884138152 is 251831488491.

194884138152 is a `hidden beast` number, since 1 + 9 + 488 + 4 + 1 + 3 + 8 + 152 = 666.

It is not an unprimeable number, because it can be changed into a prime (194884138159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23788377 + ... + 23796567.

Almost surely, 2194884138152 is an apocalyptic number.

194884138152 is a gapful number since it is divisible by the number (12) 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 194884138152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290219704320).

194884138152 is an abundant number, since it is smaller than the sum of its proper divisors (385555270488).

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

194884138152 is a wasteful number, since it uses less digits than its factorization.

194884138152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10938 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 194884138152 in words is "one hundred ninety-four billion, eight hundred eighty-four million, one hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2731 2904 4356 5462 8191 8193 8712 10924 16382 16386 21848 24573 24579 30041 32764 32772 49146 49158 60082 65528 65544 73719 90101 90123 98292 98316 120164 147438 180202 180246 196584 196632 240328 270303 270369 294876 330451 360404 360492 540606 540738 589752 660902 720808 720984 810909 991111 991353 1081212 1081476 1321804 1621818 1982222 1982706 2162424 2162952 2643608 2973333 2974059 3243636 3964444 3965412 5946666 5948118 6487272 7928888 7930824 8919999 11893332 11896236 17839998 22369621 23786664 23792472 35679996 44739242 67108863 71359992 89478484 134217726 178956968 201326589 246065831 268435452 402653178 492131662 536870904 738197493 805306356 984263324 1476394986 1610612712 1968526648 2214592479 2706724141 2952789972 4429184958 5413448282 5905579944 8120172423 8858369916 10826896564 16240344846 17716739832 21653793128 24360517269 32480689692 48721034538 64961379384 97442069076 194884138152