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198237384960 = 2835373138403
BaseRepresentation
bin1011100010011111011…
…1100111000100000000
3200221200111121120012220
42320213313213010000
511221442232304320
6231022523051040
720215335653436
oct2704767470400
9627614546186
10198237384960
117708792145a
1232505370a80
13159030bb5b4
149847d7ad56
155253852e40
hex2e27de7100

198237384960 has 144 divisors (see below), whose sum is σ = 634822609344. Its totient is φ = 52721197056.

The previous prime is 198237384953. The next prime is 198237384977. The reversal of 198237384960 is 69483732891.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 198237384894 and 198237384903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363119 + ... + 1501521.

Almost surely, 2198237384960 is an apocalyptic number.

198237384960 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 198237384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317411304672).

198237384960 is an abundant number, since it is smaller than the sum of its proper divisors (436585224384).

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

198237384960 is a wasteful number, since it uses less digits than its factorization.

198237384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138800 (or 138786 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 198237384960 in words is "one hundred ninety-eight billion, two hundred thirty-seven million, three hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 373 384 480 640 746 768 960 1119 1280 1492 1865 1920 2238 2984 3730 3840 4476 5595 5968 7460 8952 11190 11936 14920 17904 22380 23872 29840 35808 44760 47744 59680 71616 89520 95488 119360 138403 143232 179040 238720 276806 286464 358080 415209 477440 553612 692015 716160 830418 1107224 1384030 1432320 1660836 2076045 2214448 2768060 3321672 4152090 4428896 5536120 6643344 8304180 8857792 11072240 13286688 16608360 17715584 22144480 26573376 33216720 35431168 44288960 51624319 53146752 66433440 88577920 103248638 106293504 132866880 154872957 177155840 206497276 258121595 265733760 309745914 412994552 516243190 531467520 619491828 774364785 825989104 1032486380 1238983656 1548729570 1651978208 2064972760 2477967312 3097459140 3303956416 4129945520 4955934624 6194918280 6607912832 8259891040 9911869248 12389836560 13215825664 16519782080 19823738496 24779673120 33039564160 39647476992 49559346240 66079128320 99118692480 198237384960