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5004209280 = 273572431237
BaseRepresentation
bin1001010100100011…
…00010110010000000
3110220202022011121110
410222101202302000
540222034144110
62144321323320
7235003035300
oct45221426200
913822264543
105004209280
112138822554
12b77a96540
136199a37a5
14356879600
151e44d8a20
hex12a462c80

5004209280 has 384 divisors, whose sum is σ = 19002012480. Its totient is φ = 1116315648.

The previous prime is 5004209251. The next prime is 5004209299. The reversal of 5004209280 is 829024005.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×50042092802 = 50084221036076236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4044822 + ... + 4046058.

Almost surely, 25004209280 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 5004209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501006240).

5004209280 is an abundant number, since it is smaller than the sum of its proper divisors (13997803200).

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

5004209280 is a wasteful number, since it uses less digits than its factorization.

5004209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5004209280 is about 70740.4359613369. The cubic root of 5004209280 is about 1710.4556632546.

The spelling of 5004209280 in words is "five billion, four million, two hundred nine thousand, two hundred eighty".