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47400188100 = 223521631994871
BaseRepresentation
bin101100001001010001…
…010111100011000100
311112100101211001011020
4230021101113203010
51234033422004400
633435250311140
73265422644136
oct541121274304
9145311731136
1047400188100
1119114196981
12922a2884b0
1346152645a5
14241933b056
1513765002a0
hexb094578c4

47400188100 has 144 divisors (see below), whose sum is σ = 138707788800. Its totient is φ = 12496809600.

The previous prime is 47400188057. The next prime is 47400188111. The reversal of 47400188100 is 188100474.

It is a super-2 number, since 2×474001881002 (a number of 22 digits) contains 22 as substring.

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, 9728665 + ... + 9733535.

Almost surely, 247400188100 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 47400188100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69353894400).

47400188100 is an abundant number, since it is smaller than the sum of its proper divisors (91307600700).

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

47400188100 is a wasteful number, since it uses less digits than its factorization.

47400188100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 47400188100 its reverse (188100474), we get a palindrome (47588288574).

The spelling of 47400188100 in words is "forty-seven billion, four hundred million, one hundred eighty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 199 300 326 398 489 597 652 796 815 978 995 1194 1630 1956 1990 2388 2445 2985 3260 3980 4075 4871 4890 4975 5970 8150 9742 9780 9950 11940 12225 14613 14925 16300 19484 19900 24355 24450 29226 29850 32437 48710 48900 58452 59700 64874 73065 97311 97420 121775 129748 146130 162185 194622 243550 292260 324370 365325 389244 486555 487100 648740 730650 793973 810925 969329 973110 1461300 1587946 1621850 1938658 1946220 2381919 2432775 2907987 3175892 3243700 3877316 3969865 4763838 4846645 4865550 5815974 7939730 9527676 9693290 9731100 11631948 11909595 14539935 15879460 19386580 19849325 23819190 24233225 29079870 39698650 47638380 48466450 58159740 59547975 72699675 79397300 96932900 119095950 145399350 158000627 238191900 290798700 316001254 474001881 632002508 790003135 948003762 1580006270 1896007524 2370009405 3160012540 3950015675 4740018810 7900031350 9480037620 11850047025 15800062700 23700094050 47400188100