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4047225055700 = 22521753160128057
BaseRepresentation
bin111010111001010001011…
…010010110100111010100
3112022220121001222002121012
4322321101122112213110
51012302204103240300
612335134114511352
7565255003234211
oct72712132264724
915286531862535
104047225055700
11132046703aa22
12554467595558
132348619a1888
14ddc5b2ccb08
1570426e14435
hex3ae516969d4

4047225055700 has 144 divisors (see below), whose sum is σ = 9480805158384. Its totient is φ = 1493925888000.

The previous prime is 4047225055693. The next prime is 4047225055739. The reversal of 4047225055700 is 75505227404.

It can be written as a sum of positive squares in 24 ways, for example, as 303781754896 + 3743443300804 = 551164^2 + 1934798^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144236072 + ... + 144264128.

It is an arithmetic number, because the mean of its divisors is an integer number (65838924711).

Almost surely, 24047225055700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4047225055700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740402579192).

4047225055700 is an abundant number, since it is smaller than the sum of its proper divisors (5433580102684).

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

4047225055700 is a wasteful number, since it uses less digits than its factorization.

4047225055700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29742 (or 29735 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 41.

The spelling of 4047225055700 in words is "four trillion, forty-seven billion, two hundred twenty-five million, fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1601 1700 1802 2650 3202 3604 4505 5300 6404 8005 9010 16010 18020 22525 27217 28057 32020 40025 45050 54434 56114 80050 84853 90100 108868 112228 136085 140285 160100 169706 272170 280570 339412 424265 476969 544340 561140 680425 701425 848530 953938 1360850 1402850 1442501 1487021 1697060 1907876 2121325 2384845 2721700 2805700 2885002 2974042 4242650 4769690 5770004 5948084 7212505 7435105 8485300 9539380 11924225 14425010 14870210 23848450 25279357 28850020 29740420 36062525 37175525 44919257 47696900 50558714 72125050 74351050 89838514 101117428 126396785 144250100 148702100 179677028 224596285 252793570 449192570 505587140 631983925 763627369 898385140 1122981425 1263967850 1527254738 2245962850 2380720621 2527935700 3054509476 3818136845 4491925700 4761441242 7636273690 9522882484 11903603105 15272547380 19090684225 23807206210 38181368450 40472250557 47614412420 59518015525 76362736900 80944501114 119036031050 161889002228 202361252785 238072062100 404722505570 809445011140 1011806263925 2023612527850 4047225055700