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88143298560 = 222325467
BaseRepresentation
bin101001000010111000…
…0000000000000000000
322102111212011111120100
41102011300000000000
52421004141023220
6104254212442400
76240162450552
oct1220560000000
9272455144510
1088143298560
1134421659899
12150bb019400
13840926b785
1443a24a54d2
15245d372d90
hex1485c00000

88143298560 has 276 divisors, whose sum is σ = 306217709928. Its totient is φ = 23454547968.

The previous prime is 88143298553. The next prime is 88143298571. The reversal of 88143298560 is 6589234188.

It is a super-4 number, since 4×881432985604 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88143298497 and 88143298506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188743447 + ... + 188743913.

Almost surely, 288143298560 is an apocalyptic number.

88143298560 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 88143298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153108854964).

88143298560 is an abundant number, since it is smaller than the sum of its proper divisors (218074411368).

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

88143298560 is an frugal number, since it uses more digits than its factorization.

88143298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 88143298560 in words is "eighty-eight billion, one hundred forty-three million, two hundred ninety-eight thousand, five hundred sixty".