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48846993408 = 211337312101
BaseRepresentation
bin101101011111100000…
…011111100000000000
311200002020020100221000
4231133200133200000
51300014312242113
634235012332000
73346321410333
oct553740374000
9150066210830
1048846993408
1119796944144
129572914000
1347b5c202c5
14251555461a
15140d53d373
hexb5f81f800

48846993408 has 192 divisors, whose sum is σ = 146690762400. Its totient is φ = 16057958400.

The previous prime is 48846993397. The next prime is 48846993409. The reversal of 48846993408 is 80439964884.

48846993408 is a `hidden beast` number, since 4 + 8 + 84 + 69 + 93 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48846993409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030558 + ... + 4042658.

Almost surely, 248846993408 is an apocalyptic number.

48846993408 is a gapful number since it is divisible by the number (48) 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 48846993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73345381200).

48846993408 is an abundant number, since it is smaller than the sum of its proper divisors (97843768992).

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

48846993408 is a wasteful number, since it uses less digits than its factorization.

48846993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 48846993408 in words is "forty-eight billion, eight hundred forty-six million, nine hundred ninety-three thousand, four hundred eight".