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5409658000 = 24534362903
BaseRepresentation
bin1010000100111000…
…01101010010010000
3111222000020002200201
411002130031102100
542034333024000
62252443424544
7251025222445
oct50234152220
914860202621
105409658000
11232667a13a
12106b825154
136829a2186
1439465b9cc
15219dc696a
hex14270d490

5409658000 has 80 divisors (see below), whose sum is σ = 13384964736. Its totient is φ = 2113507200.

The previous prime is 5409657991. The next prime is 5409658003. The reversal of 5409658000 is 8569045.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5409658003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54549 + ... + 117451.

Almost surely, 25409658000 is an apocalyptic number.

5409658000 is a gapful number since it is divisible by the number (50) 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 5409658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692482368).

5409658000 is an abundant number, since it is smaller than the sum of its proper divisors (7975306736).

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

5409658000 is a wasteful number, since it uses less digits than its factorization.

5409658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62969 (or 62953 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5409658000 is about 73550.3772933899. The cubic root of 5409658000 is about 1755.4559519650.

The spelling of 5409658000 in words is "five billion, four hundred nine million, six hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 62903 86000 125806 251612 314515 503224 629030 1006448 1258060 1572575 2516120 2704829 3145150 5032240 5409658 6290300 7862875 10819316 12580600 13524145 15725750 21638632 25161200 27048290 31451500 43277264 54096580 62903000 67620725 108193160 125806000 135241450 216386320 270482900 338103625 540965800 676207250 1081931600 1352414500 2704829000 5409658000