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5626729920 = 2635719127347
BaseRepresentation
bin1010011110110000…
…10001010111000000
3112112010200111101110
411033120101113000
543010420324140
62330200203320
7256302262260
oct51730212700
915463614343
105626729920
112428162519
121110469540
136b8955bb6
143b54057a0
1522dea4380
hex14f6115c0

5626729920 has 448 divisors, whose sum is σ = 21723217920. Its totient is φ = 1205342208.

The previous prime is 5626729909. The next prime is 5626729931. The reversal of 5626729920 is 299276265.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5626729909) and next prime (5626729931).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5626729920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16215187 + ... + 16215533.

Almost surely, 25626729920 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 5626729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10861608960).

5626729920 is an abundant number, since it is smaller than the sum of its proper divisors (16096488000).

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

5626729920 is a wasteful number, since it uses less digits than its factorization.

5626729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 5626729920 is about 75011.5319134332. The cubic root of 5626729920 is about 1778.6289488433.

The spelling of 5626729920 in words is "five billion, six hundred twenty-six million, seven hundred twenty-nine thousand, nine hundred twenty".