Search a number
-
+
88080649344 = 27363372801
BaseRepresentation
bin101001000001000000…
…1000000110010000000
322102100111021121000000
41102002001000302000
52420342121234334
6104244054000000
76235502111022
oct1220201006200
9272314247000
1088080649344
113439a259586
12150a2046000
1383c92a4a2c
144398038012
152457aea299
hex1482040c80

88080649344 has 224 divisors, whose sum is σ = 263964287340. Its totient is φ = 29262643200.

The previous prime is 88080649333. The next prime is 88080649357. The reversal of 88080649344 is 44394608088.

It can be written as a sum of positive squares in 2 ways, for example, as 86930625600 + 1150023744 = 294840^2 + 33912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31444744 + ... + 31447544.

Almost surely, 288080649344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88080649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131982143670).

88080649344 is an abundant number, since it is smaller than the sum of its proper divisors (175883637996).

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

88080649344 is an equidigital number, since it uses as much as digits as its factorization.

88080649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 88080649344 in words is "eighty-eight billion, eighty million, six hundred forty-nine thousand, three hundred forty-four".