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88225593984 = 273511257861
BaseRepresentation
bin101001000101010100…
…1111011101010000000
322102201121000112200000
41102022221323222000
52421141223001414
6104310312400000
76242212114113
oct1221251735200
9272647015600
1088225593984
1134464058640
12151226a6000
1384203238a8
1443ad3a857a
1524656cbb09
hex148aa7ba80

88225593984 has 192 divisors, whose sum is σ = 287217010080. Its totient is φ = 26734924800.

The previous prime is 88225593983. The next prime is 88225594003. The reversal of 88225593984 is 48939552288.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (88225593983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213214 + ... + 471074.

Almost surely, 288225593984 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 88225593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143608505040).

88225593984 is an abundant number, since it is smaller than the sum of its proper divisors (198991416096).

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

88225593984 is a wasteful number, since it uses less digits than its factorization.

88225593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257901 (or 257877 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 88225593984 in words is "eighty-eight billion, two hundred twenty-five million, five hundred ninety-three thousand, nine hundred eighty-four".