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48265445376 = 21438449
BaseRepresentation
bin101100111100110110…
…000100000000000000
311121120200221200000000
4230330312010000000
51242321423223001
634101200000000
73326030342121
oct547466040000
9147520850000
1048265445376
1119518649535
129430000000
1347225b5345
14249c212048
1513c7467a86
hexb3cd84000

48265445376 has 270 divisors, whose sum is σ = 145107021150. Its totient is φ = 16052649984.

The previous prime is 48265445369. The next prime is 48265445411. The reversal of 48265445376 is 67354456284.

48265445376 is a `hidden beast` number, since 4 + 8 + 2 + 65 + 44 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42998169600 + 5267275776 = 207360^2 + 72576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107495200 + ... + 107495648.

Almost surely, 248265445376 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 48265445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553510575).

48265445376 is an abundant number, since it is smaller than the sum of its proper divisors (96841575774).

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

48265445376 is an frugal number, since it uses more digits than its factorization.

48265445376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 454 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 48265445376 in words is "forty-eight billion, two hundred sixty-five million, four hundred forty-five thousand, three hundred seventy-six".