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48466600560 = 24335710331121
BaseRepresentation
bin101101001000110101…
…011010001001110000
311122002201110102001000
4231020311122021300
51243224422204220
634133143242000
73334022210310
oct551065321160
9148081412030
1048466600560
1119611150394
129487449300
134755185391
1424bac15440
1513d9e4e390
hexb48d5a270

48466600560 has 320 divisors, whose sum is σ = 192647669760. Its totient is φ = 10970173440.

The previous prime is 48466600531. The next prime is 48466600573. The reversal of 48466600560 is 6500666484.

It is a super-2 number, since 2×484666005602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1541800 + ... + 1572920.

It is an arithmetic number, because the mean of its divisors is an integer number (602023968).

Almost surely, 248466600560 is an apocalyptic number.

48466600560 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 48466600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96323834880).

48466600560 is an abundant number, since it is smaller than the sum of its proper divisors (144181069200).

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

48466600560 is a wasteful number, since it uses less digits than its factorization.

48466600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31253 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48466600560 in words is "forty-eight billion, four hundred sixty-six million, six hundred thousand, five hundred sixty".