Search a number
-
+
88217902080 = 21032571123247
BaseRepresentation
bin101001000101000110…
…0100101110000000000
322102201001112202100200
41102022030211300000
52421132240331310
6104305435445200
76242056536540
oct1221214456000
9272631482320
1088217902080
113445a7845a0
121511bbb6800
13841b85c779
1443ac365320
152464bac9c0
hex148a325c00

88217902080 has 1584 divisors, whose sum is σ = 406864733184. Its totient is φ = 17160929280.

The previous prime is 88217901997. The next prime is 88217902081. The reversal of 88217902080 is 8020971288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88217902081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1876976617 + ... + 1876976663.

Almost surely, 288217902080 is an apocalyptic number.

88217902080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88217902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203432366592).

88217902080 is an abundant number, since it is smaller than the sum of its proper divisors (318646831104).

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

88217902080 is a wasteful number, since it uses less digits than its factorization.

88217902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 88217902080 in words is "eighty-eight billion, two hundred seventeen million, nine hundred two thousand, eighty".