Search a number
-
+
83936710243204 = 22721327127092
BaseRepresentation
bin10011000101011100001001…
…110011000011001110000100
3102000012021022122200221212121
4103011130021303003032010
542000204340310240304
6454303554203255324
723452140633065200
oct2305341163031604
9360167278627777
1083936710243204
11248213a4785785
1294b75b651a544
1337ab275796900
1416a27b656db00
159a85be463554
hex4c5709cc3384

83936710243204 has 243 divisors, whose sum is σ = 187933942608111. Its totient is φ = 32691870207360.

The previous prime is 83936710243153. The next prime is 83936710243279. The reversal of 83936710243204 is 40234201763938.

The square root of 83936710243204 is 9161698.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43365517562500 + 40571192680704 = 6585250^2 + 6369552^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 118387461202 + ... + 118387461910.

Almost surely, 283936710243204 is an apocalyptic number.

83936710243204 is the 9161698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83936710243204

83936710243204 is an abundant number, since it is smaller than the sum of its proper divisors (103997232364907).

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

83936710243204 is an equidigital number, since it uses as much as digits as its factorization.

83936710243204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 83936710243204 in words is "eighty-three trillion, nine hundred thirty-six billion, seven hundred ten million, two hundred forty-three thousand, two hundred four".