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5466636240 = 2435132532543
BaseRepresentation
bin1010001011101011…
…00011111111010000
3112002222102220010220
411011311203333100
542143424324430
62302240553040
7252316432662
oct50565437720
915088386126
105466636240
11235585679a
121086922780
13691731900
1439c050532
1521edce110
hex145d63fd0

5466636240 has 240 divisors, whose sum is σ = 18704017152. Its totient is φ = 1319725056.

The previous prime is 5466636191. The next prime is 5466636257. The reversal of 5466636240 is 426366645.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54666362402 = 59768223560962675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5466636192 and 5466636201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148409 + ... + 2150951.

Almost surely, 25466636240 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 5466636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352008576).

5466636240 is an abundant number, since it is smaller than the sum of its proper divisors (13237380912).

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

5466636240 is a wasteful number, since it uses less digits than its factorization.

5466636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 5466636240 is about 73936.7042814325. The cubic root of 5466636240 is about 1761.5976625545.

The spelling of 5466636240 in words is "five billion, four hundred sixty-six million, six hundred thirty-six thousand, two hundred forty".