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23973851616100 = 22524896312
BaseRepresentation
bin1010111001101110110001…
…11010001101001101100100
310010212212200221100200012221
411130313120322031031210
511120241422003203400
6122553234013322124
75023024251313441
oct534673072151544
9103785627320187
1023973851616100
117703287270881
122832362496344
13104b955984659
145cc4aa8bc9c8
152b893542bc1a
hex15cdd8e8d364

23973851616100 has 27 divisors (see below), whose sum is σ = 52023364257081. Its totient is φ = 9589521061200.

The previous prime is 23973851616089. The next prime is 23973851616103. The reversal of 23973851616100 is 161615837932.

The square root of 23973851616100 is 4896310.

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., 8630586581796 + 15343265034304 = 2937786^2 + 3917048^2 .

It is a super-2 number, since 2×239738516161002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23973851616103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48718285 + ... + 49207915.

Almost surely, 223973851616100 is an apocalyptic number.

23973851616100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23973851616100 is the 4896310-th square number.

It is an amenable number.

23973851616100 is an abundant number, since it is smaller than the sum of its proper divisors (28049512640981).

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

23973851616100 is an frugal number, since it uses more digits than its factorization.

23973851616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979276 (or 489638 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 23973851616100 in words is "twenty-three trillion, nine hundred seventy-three billion, eight hundred fifty-one million, six hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 489631 979262 1958524 2448155 4896310 9792620 12240775 24481550 48963100 239738516161 479477032322 958954064644 1198692580805 2397385161610 4794770323220 5993462904025 11986925808050 23973851616100