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20480649200 = 24521113933487
BaseRepresentation
bin10011000100101111…
…011110011111110000
31221212022221202222222
4103010233132133300
5313421021233300
613224135220212
71323346434344
oct230457363760
957768852888
1020480649200
11875a879970
123b76b17668
131c15145c4b
14dc4081624
157ed060785
hex4c4bde7f0

20480649200 has 120 divisors (see below), whose sum is σ = 54065706240. Its totient is φ = 7393708800.

The previous prime is 20480649197. The next prime is 20480649209. The reversal of 20480649200 is 294608402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20480649209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594857 + ... + 628343.

It is an arithmetic number, because the mean of its divisors is an integer number (450547552).

Almost surely, 220480649200 is an apocalyptic number.

20480649200 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 20480649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032853120).

20480649200 is an abundant number, since it is smaller than the sum of its proper divisors (33585057040).

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

20480649200 is a wasteful number, since it uses less digits than its factorization.

20480649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33655 (or 33644 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 20480649200 in words is "twenty billion, four hundred eighty million, six hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 139 176 200 220 275 278 400 440 550 556 695 880 1100 1112 1390 1529 2200 2224 2780 3058 3475 4400 5560 6116 6950 7645 11120 12232 13900 15290 24464 27800 30580 33487 38225 55600 61160 66974 76450 122320 133948 152900 167435 267896 305800 334870 368357 535792 611600 669740 736714 837175 1339480 1473428 1674350 1841785 2678960 2946856 3348700 3683570 4654693 5893712 6697400 7367140 9208925 9309386 13394800 14734280 18417850 18618772 23273465 29468560 36835700 37237544 46546930 51201623 73671400 74475088 93093860 102403246 116367325 147342800 186187720 204806492 232734650 256008115 372375440 409612984 465469300 512016230 819225968 930938600 1024032460 1280040575 1861877200 2048064920 2560081150 4096129840 5120162300 10240324600 20480649200