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2132958359532 = 2237111317314767107
BaseRepresentation
bin11111000010011110001…
…110011010111111101100
321112220112112110022221110
4133002132032122333230
5234421244320001112
64311511220032020
7310046460625230
oct37023616327754
97486475408843
102132958359532
1175264542a250
122a546b532610
131261a2300cb0
1475342c025c0
153a73a90c13c
hex1f09e39afec

2132958359532 has 1536 divisors, whose sum is σ = 7641061392384. Its totient is φ = 444878438400.

The previous prime is 2132958359507. The next prime is 2132958359573. The reversal of 2132958359532 is 2359538592312.

It is a super-2 number, since 2×21329583595322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19934190223 + ... + 19934190329.

It is an arithmetic number, because the mean of its divisors is an integer number (4974649344).

Almost surely, 22132958359532 is an apocalyptic number.

2132958359532 is a gapful number since it is divisible by the number (22) 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 2132958359532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820530696192).

2132958359532 is an abundant number, since it is smaller than the sum of its proper divisors (5508103032852).

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

2132958359532 is a wasteful number, since it uses less digits than its factorization.

2132958359532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 57.

The spelling of 2132958359532 in words is "two trillion, one hundred thirty-two billion, nine hundred fifty-eight million, three hundred fifty-nine thousand, five hundred thirty-two".