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3601006464 = 273112194079
BaseRepresentation
bin1101011010100010…
…1111111110000000
3100021221221002012210
43112220233332000
524333324201324
61353154022120
7155144023056
oct32650577600
910257832183
103601006464
111588746500
12845b77940
13455073273
142623721d6
1516120ed29
hexd6a2ff80

3601006464 has 192 divisors, whose sum is σ = 11069856000. Its totient is φ = 1033528320.

The previous prime is 3601006447. The next prime is 3601006481. The reversal of 3601006464 is 4646001063.

It is an interprime number because it is at equal distance from previous prime (3601006447) and next prime (3601006481).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880777 + ... + 884855.

It is an arithmetic number, because the mean of its divisors is an integer number (57655500).

Almost surely, 23601006464 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 3601006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534928000).

3601006464 is an abundant number, since it is smaller than the sum of its proper divisors (7468849536).

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

3601006464 is a wasteful number, since it uses less digits than its factorization.

3601006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3601006464 is about 60008.3866138726. The cubic root of 3601006464 is about 1532.7616779339.

The spelling of 3601006464 in words is "three billion, six hundred one million, six thousand, four hundred sixty-four".