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5675955120 = 2435511219127
BaseRepresentation
bin1010100100101000…
…00011001110110000
3112122120022101200000
411102110003032300
543111021030440
62335115230000
7260440552053
oct52224031660
915576271600
105675955120
112452a24100
121124a48300
136c5bcc734
143bbb7aa9a
15233479730
hex1525033b0

5675955120 has 720 divisors, whose sum is σ = 23051857920. Its totient is φ = 1293304320.

The previous prime is 5675955091. The next prime is 5675955163. The reversal of 5675955120 is 215595765.

5675955120 is a `hidden beast` number, since 5 + 6 + 7 + 595 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44692497 + ... + 44692623.

Almost surely, 25675955120 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 5675955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525928960).

5675955120 is an abundant number, since it is smaller than the sum of its proper divisors (17375902800).

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

5675955120 is a wasteful number, since it uses less digits than its factorization.

5675955120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 5675955120 is about 75338.9349539798. The cubic root of 5675955120 is about 1783.8006490297.

The spelling of 5675955120 in words is "five billion, six hundred seventy-five million, nine hundred fifty-five thousand, one hundred twenty".