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2059739136 = 21332713307
BaseRepresentation
bin111101011000101…
…0010000000000000
312022112202120220200
41322301102000000
513204243123021
6540215205200
7102020331240
oct17261220000
95275676820
102059739136
1196773a554
12495976800
1326a962670
141577a9b20
15c0c63126
hex7ac52000

2059739136 has 336 divisors, whose sum is σ = 7346923584. Its totient is φ = 541458432.

The previous prime is 2059739119. The next prime is 2059739177. The reversal of 2059739136 is 6319379502.

2059739136 is a `hidden beast` number, since 20 + 597 + 3 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2059739091 and 2059739100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709095 + ... + 6709401.

It is an arithmetic number, because the mean of its divisors is an integer number (21865844).

Almost surely, 22059739136 is an apocalyptic number.

2059739136 is a gapful number since it is divisible by the number (26) 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 2059739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673461792).

2059739136 is an abundant number, since it is smaller than the sum of its proper divisors (5287184448).

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

2059739136 is a wasteful number, since it uses less digits than its factorization.

2059739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 2059739136 is about 45384.3490203396. The cubic root of 2059739136 is about 1272.3426156700.

The spelling of 2059739136 in words is "two billion, fifty-nine million, seven hundred thirty-nine thousand, one hundred thirty-six".