Search a number
-
+
8923077071104 = 287214921792
BaseRepresentation
bin1000000111011001000011…
…0101101101000100000000
31011121001000120202011100211
42001312100311231010000
52132143430212233404
630551112141123504
71610446111443400
oct201662065550400
934531016664324
108923077071104
11293028a423119
121001428559594
134c959a3b5611
1422bc44896800
1510719a427b04
hex81d90d6d100

8923077071104 has 243 divisors, whose sum is σ = 20976437348517. Its totient is φ = 3777289549824.

The previous prime is 8923077071101. The next prime is 8923077071107. The reversal of 8923077071104 is 4011707703298.

The square root of 8923077071104 is 2987152.

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

It is an interprime number because it is at equal distance from previous prime (8923077071101) and next prime (8923077071107).

It can be written as a sum of positive squares in only one way, i.e., 1045399912704 + 7877677158400 = 1022448^2 + 2806720^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8923077071101) 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, 49849592487 + ... + 49849592665.

Almost surely, 28923077071104 is an apocalyptic number.

8923077071104 is the 2987152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8923077071104

8923077071104 is an abundant number, since it is smaller than the sum of its proper divisors (12053360277413).

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

8923077071104 is an frugal number, since it uses more digits than its factorization.

8923077071104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

Multiplying 8923077071104 by its sum of digits (49), we get a square (437230776484096 = 209100642).

8923077071104 divided by its sum of digits (49) gives a square (182103613696 = 4267362).

The spelling of 8923077071104 in words is "eight trillion, nine hundred twenty-three billion, seventy-seven million, seventy-one thousand, one hundred four".