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9990478420000 = 25541338424917
BaseRepresentation
bin1001000101100001011011…
…1010101101100000100000
31022101002011121200212120021
42101120112322231200200
52302140444433420000
633125321252323224
72050534240266661
oct221302672554040
938332147625507
109990478420000
113201a35687041
12115427b013514
13576137608810
14267782745368
15124d1e08911a
hex91616ead820

9990478420000 has 120 divisors (see below), whose sum is σ = 26468697364956. Its totient is φ = 3688791936000.

The previous prime is 9990478419997. The next prime is 9990478420007. The reversal of 9990478420000 is 248740999.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5348470280976 + 4642008139024 = 2312676^2 + 2154532^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 9990478420000.

It is not an unprimeable number, because it can be changed into a prime (9990478420007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18952459 + ... + 19472458.

Almost surely, 29990478420000 is an apocalyptic number.

It is an amenable number.

9990478420000 is an abundant number, since it is smaller than the sum of its proper divisors (16478218944956).

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

9990478420000 is a wasteful number, since it uses less digits than its factorization.

9990478420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38424960 (or 38424937 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 9990478420000 in words is "nine trillion, nine hundred ninety billion, four hundred seventy-eight million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 260000 38424917 76849834 153699668 192124585 307399336 384249170 499523921 614798672 768498340 960622925 999047842 1229597344 1536996680 1921245850 1998095684 2497619605 3073993360 3842491700 3996191368 4803114625 4995239210 6147986720 7684983400 7992382736 9606229250 9990478420 12488098025 15369966800 15984765472 19212458500 19980956840 24015573125 24976196050 30739933600 38424917000 39961913680 48031146250 49952392100 62440490125 76849834000 79923827360 96062292500 99904784200 124880980250 153699668000 192124585000 199809568400 249761960500 312202450625 384249170000 399619136800 499523921000 624404901250 768498340000 999047842000 1248809802500 1998095684000 2497619605000 4995239210000 9990478420000