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8731374912100 = 225247262872
BaseRepresentation
bin111111100001110111010…
…0000000000001001100100
31010220201012112022110210201
41333003232200000021210
52121023323434141400
630323045510400244
71560551416124551
oct177035640001144
933821175273721
108731374912100
112866a56569755
12b90247960084
134b449922c739
1422285a84da28
151021ca6d306a
hex7f0ee800264

8731374912100 has 81 divisors (see below), whose sum is σ = 19361869886233. Its totient is φ = 3417696691360.

The previous prime is 8731374912089. The next prime is 8731374912107. The reversal of 8731374912100 is 12194731378.

The square root of 8731374912100 is 2954890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3143294968356 + 5588079943744 = 1772934^2 + 2363912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8731374912107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1388795157 + ... + 1388801443.

Almost surely, 28731374912100 is an apocalyptic number.

8731374912100 is the 2954890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8731374912100

8731374912100 is an abundant number, since it is smaller than the sum of its proper divisors (10630494974133).

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

8731374912100 is an frugal number, since it uses more digits than its factorization.

8731374912100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 8731374912100 in words is "eight trillion, seven hundred thirty-one billion, three hundred seventy-four million, nine hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2209 2350 4418 4700 6287 8836 11045 12574 22090 25148 31435 44180 55225 62870 110450 125740 157175 220900 295489 314350 590978 628700 1181956 1477445 2954890 5909780 7387225 13887983 14774450 27775966 29548900 39526369 55551932 69439915 79052738 138879830 158105476 197631845 277759660 347199575 395263690 694399150 790527380 988159225 1388798300 1857739343 1976318450 3715478686 3952636900 7430957372 9288696715 18577393430 37154786860 46443483575 87313749121 92886967150 174627498242 185773934300 349254996484 436568745605 873137491210 1746274982420 2182843728025 4365687456050 8731374912100