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5507723520 = 283351322341
BaseRepresentation
bin1010010000100100…
…10011000100000000
3112012211202100022000
411020102103010000
542234434123040
62310305344000
7253325606655
oct51022230400
915184670260
105507723520
112376a6a222
121098638000
1369a0b9300
143a36a7c2c
152237e8130
hex148493100

5507723520 has 864 divisors, whose sum is σ = 22622664960. Its totient is φ = 1265172480.

The previous prime is 5507723519. The next prime is 5507723537. The reversal of 5507723520 is 253277055.

It is a happy number.

5507723520 is a `hidden beast` number, since 550 + 7 + 72 + 35 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×55077235202 = 60670036745522380800, which contains 22 as substring.

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, 134334700 + ... + 134334740.

It is an arithmetic number, because the mean of its divisors is an integer number (26183640).

Almost surely, 25507723520 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 5507723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311332480).

5507723520 is an abundant number, since it is smaller than the sum of its proper divisors (17114941440).

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

5507723520 is a wasteful number, since it uses less digits than its factorization.

5507723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 5507723520 is about 74214.0385641423. The cubic root of 5507723520 is about 1766.0000453172. Note that the first 4 decimals are identical.

The spelling of 5507723520 in words is "five billion, five hundred seven million, seven hundred twenty-three thousand, five hundred twenty".