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20096181120 = 273544323627
BaseRepresentation
bin10010101101110100…
…110110001110000000
31220212112111202221110
4102231310312032000
5312124110243440
613122042523320
71311000502221
oct225564661600
956775452843
1020096181120
118582852354
123a8a206540
131b835b2142
14d88da1248
157c9419080
hex4add36380

20096181120 has 128 divisors (see below), whose sum is σ = 64203891840. Its totient is φ = 5346658304.

The previous prime is 20096181113. The next prime is 20096181167. The reversal of 20096181120 is 2118169002.

It is a happy number.

It is a Cunningham number, because it is equal to 1417612-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 838747 + ... + 862373.

It is an arithmetic number, because the mean of its divisors is an integer number (501592905).

Almost surely, 220096181120 is an apocalyptic number.

20096181120 is a gapful number since it is divisible by the number (20) 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 20096181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32101945920).

20096181120 is an abundant number, since it is smaller than the sum of its proper divisors (44107710720).

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

20096181120 is a wasteful number, since it uses less digits than its factorization.

20096181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24092 (or 24080 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 20096181120 in words is "twenty billion, ninety-six million, one hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 443 480 640 886 960 1329 1772 1920 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 14176 17720 21264 23627 26580 28352 35440 42528 47254 53160 56704 70880 70881 85056 94508 106320 118135 141760 141762 170112 189016 212640 236270 283520 283524 354405 378032 425280 472540 567048 708810 756064 850560 945080 1134096 1417620 1512128 1890160 2268192 2835240 3024256 3780320 4536384 5670480 7560640 9072768 10466761 11340960 15121280 20933522 22681920 31400283 41867044 45363840 52333805 62800566 83734088 104667610 125601132 157001415 167468176 209335220 251202264 314002830 334936352 418670440 502404528 628005660 669872704 837340880 1004809056 1256011320 1339745408 1674681760 2009618112 2512022640 3349363520 4019236224 5024045280 6698727040 10048090560 20096181120