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8383862340100 = 2252132222732
BaseRepresentation
bin111101000000000010100…
…1000101111101000000100
31002200111012210002201011201
41322000011020233220010
52044330122224340400
625455254310112244
71523466632034142
oct172000510575004
932614183081151
108383862340100
1127426377a6925
12b34a2264b684
1348a796aab100
1420dad14b8592
15e813bc2506a
hex7a00522fa04

8383862340100 has 81 divisors (see below), whose sum is σ = 19700976675933. Its totient is φ = 3095440957440.

The previous prime is 8383862340089. The next prime is 8383862340131. The reversal of 8383862340100 is 10432683838.

The square root of 8383862340100 is 2895490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6560800696836 + 1823061643264 = 2561406^2 + 1350208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376402564 + ... + 376424836.

Almost surely, 28383862340100 is an apocalyptic number.

8383862340100 is the 2895490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8383862340100

8383862340100 is an abundant number, since it is smaller than the sum of its proper divisors (11317114335833).

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

8383862340100 is an equidigital number, since it uses as much as digits as its factorization.

8383862340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44586 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 8383862340100 in words is "eight trillion, three hundred eighty-three billion, eight hundred sixty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 22273 44546 89092 111365 222730 289549 445460 556825 579098 1113650 1158196 1447745 2227300 2895490 3764137 5790980 7238725 7528274 14477450 15056548 18820685 28954900 37641370 75282740 94103425 188206850 376413700 496086529 992173058 1984346116 2480432645 4960865290 6449124877 9921730580 12402163225 12898249754 24804326450 25796499508 32245624385 49608652900 64491248770 83838623401 128982497540 161228121925 167677246802 322456243850 335354493604 419193117005 644912487700 838386234010 1676772468020 2095965585025 4191931170050 8383862340100