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5598935040 = 211351771151
BaseRepresentation
bin1010011011011100…
…01111100000000000
3112110012101100222110
411031232033200000
542431311410130
62323324335320
7255514106526
oct51556174000
915405340873
105598935040
1124134a8846
1211030a4540
136b2c7381a
143b184c316
1522b813ab0
hex14db8f800

5598935040 has 384 divisors, whose sum is σ = 19360373760. Its totient is φ = 1376256000.

The previous prime is 5598935009. The next prime is 5598935077. The reversal of 5598935040 is 405398955.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37078965 + ... + 37079115.

It is an arithmetic number, because the mean of its divisors is an integer number (50417640).

Almost surely, 25598935040 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 5598935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

5598935040 is an abundant number, since it is smaller than the sum of its proper divisors (13761438720).

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

5598935040 is a wasteful number, since it uses less digits than its factorization.

5598935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 5598935040 is about 74826.0318338478. The cubic root of 5598935040 is about 1775.6954270337.

The spelling of 5598935040 in words is "five billion, five hundred ninety-eight million, nine hundred thirty-five thousand, forty".