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4376481480 = 2332573075657
BaseRepresentation
bin1000001001101101…
…11100111011001000
3102022000010021221200
410010312330323020
532430334401410
62002135104200
7213311323140
oct40466747310
912260107850
104376481480
111946456348
12a21812060
1354991a217
142d7355920
151a93403c0
hex104dbcec8

4376481480 has 192 divisors, whose sum is σ = 16311335040. Its totient is φ = 996903936.

The previous prime is 4376481457. The next prime is 4376481493. The reversal of 4376481480 is 841846734.

4376481480 is a `hidden beast` number, since 4 + 37 + 64 + 81 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770812 + ... + 776468.

It is an arithmetic number, because the mean of its divisors is an integer number (84954870).

Almost surely, 24376481480 is an apocalyptic number.

4376481480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4376481480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155667520).

4376481480 is an abundant number, since it is smaller than the sum of its proper divisors (11934853560).

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

4376481480 is a wasteful number, since it uses less digits than its factorization.

4376481480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4376481480 is about 66154.9807648676. The cubic root of 4376481480 is about 1635.7177445201.

The spelling of 4376481480 in words is "four billion, three hundred seventy-six million, four hundred eighty-one thousand, four hundred eighty".