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5502409920 = 263357241317
BaseRepresentation
bin1010001111111100…
…00001110011000000
3112012110202101102000
411013332001303000
542232104104140
62305555424000
7253232466300
oct50776016300
915173671360
105502409920
112373a70017
1210968b5000
13698c78877
143a2ac3600
152230e8a30
hex147f81cc0

5502409920 has 672 divisors, whose sum is σ = 23204180160. Its totient is φ = 1223147520.

The previous prime is 5502409919. The next prime is 5502409931. The reversal of 5502409920 is 299042055.

It is a happy number.

5502409920 is a `hidden beast` number, since 5 + 502 + 40 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17357602 + ... + 17357918.

It is an arithmetic number, because the mean of its divisors is an integer number (34530030).

Almost surely, 25502409920 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 5502409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602090080).

5502409920 is an abundant number, since it is smaller than the sum of its proper divisors (17701770240).

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

5502409920 is a wasteful number, since it uses less digits than its factorization.

5502409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5502409920 is about 74178.2307688718. The cubic root of 5502409920 is about 1765.4319438673.

The spelling of 5502409920 in words is "five billion, five hundred two million, four hundred nine thousand, nine hundred twenty".