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52145231200 = 25521311812749
BaseRepresentation
bin110000100100000110…
…010001010101100000
311222121002110012121021
4300210012101111200
51323243134344300
635542153135224
73524131103056
oct604406212540
9158532405537
1052145231200
1120129694aa7
12a1333ba514
134bc03364ba
1427495d21d6
151552d93d1a
hexc24191560

52145231200 has 144 divisors (see below), whose sum is σ = 129026898000. Its totient is φ = 20577024000.

The previous prime is 52145231179. The next prime is 52145231219. The reversal of 52145231200 is 213254125.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18967426 + ... + 18970174.

It is an arithmetic number, because the mean of its divisors is an integer number (896020125).

Almost surely, 252145231200 is an apocalyptic number.

52145231200 is a gapful number since it is divisible by the number (50) 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 52145231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64513449000).

52145231200 is an abundant number, since it is smaller than the sum of its proper divisors (76881666800).

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

52145231200 is a wasteful number, since it uses less digits than its factorization.

52145231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 52145231200 its reverse (213254125), we get a palindrome (52358485325).

The spelling of 52145231200 in words is "fifty-two billion, one hundred forty-five million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 181 200 262 362 400 524 655 724 800 905 1048 1310 1448 1810 2096 2620 2749 2896 3275 3620 4192 4525 5240 5498 5792 6550 7240 9050 10480 10996 13100 13745 14480 18100 20960 21992 23711 26200 27490 28960 36200 43984 47422 52400 54980 68725 72400 87968 94844 104800 109960 118555 137450 144800 189688 219920 237110 274900 360119 379376 439840 474220 497569 549800 592775 720238 758752 948440 995138 1099600 1185550 1440476 1800595 1896880 1990276 2199200 2371100 2487845 2880952 3601190 3793760 3980552 4742200 4975690 5761904 7202380 7961104 9002975 9484400 9951380 11523808 12439225 14404760 15922208 18005950 18968800 19902760 24878450 28809520 36011900 39805520 49756900 57619040 65181539 72023800 79611040 99513800 130363078 144047600 199027600 260726156 288095200 325907695 398055200 521452312 651815390 1042904624 1303630780 1629538475 2085809248 2607261560 3259076950 5214523120 6518153900 10429046240 13036307800 26072615600 52145231200