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47168572053200 = 24521319974542253
BaseRepresentation
bin10101011100110010010011…
…11110110101011011010000
320012000021022212221120001112
422232121021332311123100
522140302213421200300
6244152535353552452
712635550121112003
oct1256311176653320
9205007285846045
1047168572053200
1114036096272a64
125359703415728
132041c92065120
14b90d8487d53a
1556be69700e35
hex2ae649fb56d0

47168572053200 has 120 divisors (see below), whose sum is σ = 122100747661368. Its totient is φ = 17407363184640.

The previous prime is 47168572053199. The next prime is 47168572053311. The reversal of 47168572053200 is 235027586174.

It can be written as a sum of positive squares in 12 ways, for example, as 26176157317696 + 20992414735504 = 5116264^2 + 4581748^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 8113274 + ... + 12655526.

Almost surely, 247168572053200 is an apocalyptic number.

47168572053200 is a gapful number since it is divisible by the number (40) 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 47168572053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050373830684).

47168572053200 is an abundant number, since it is smaller than the sum of its proper divisors (74932175608168).

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

47168572053200 is a wasteful number, since it uses less digits than its factorization.

47168572053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544281 (or 4544270 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 47168572053200 in words is "forty-seven trillion, one hundred sixty-eight billion, five hundred seventy-two million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 1997 2600 3994 5200 7988 9985 15976 19970 25961 31952 39940 49925 51922 79880 99850 103844 129805 159760 199700 207688 259610 399400 415376 519220 649025 798800 1038440 1298050 2076880 2596100 4542253 5192200 9084506 10384400 18169012 22711265 36338024 45422530 59049289 72676048 90845060 113556325 118098578 181690120 227112650 236197156 295246445 363380240 454225300 472394312 590492890 908450600 944788624 1180985780 1476232225 1816901200 2361971560 2952464450 4723943120 5904928900 9070879241 11809857800 18141758482 23619715600 36283516964 45354396205 72567033928 90708792410 117921430133 145134067856 181417584820 226771981025 235842860266 362835169640 453543962050 471685720532 589607150665 725670339280 907087924100 943371441064 1179214301330 1814175848200 1886742882128 2358428602660 2948035753325 3628351696400 4716857205320 5896071506650 9433714410640 11792143013300 23584286026600 47168572053200