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48328960680 = 233257411131723
BaseRepresentation
bin101101000000101000…
…010110101010101000
311121202010110120121200
4231000220112222220
51242434203220210
634111345204200
73330431250000
oct550050265250
9147663416550
1048328960680
1119550490520
129449330660
1347327c3370
1424a6827000
1513ccd120c0
hexb40a16aa8

48328960680 has 1920 divisors, whose sum is σ = 237843889920. Its totient is φ = 8345272320.

The previous prime is 48328960637. The next prime is 48328960721. The reversal of 48328960680 is 8606982384.

48328960680 is a `hidden beast` number, since 4 + 8 + 3 + 28 + 9 + 606 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2101259149 + ... + 2101259171.

It is an arithmetic number, because the mean of its divisors is an integer number (123877026).

Almost surely, 248328960680 is an apocalyptic number.

48328960680 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 48328960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118921944960).

48328960680 is an abundant number, since it is smaller than the sum of its proper divisors (189514929240).

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

48328960680 is a wasteful number, since it uses less digits than its factorization.

48328960680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 48328960680 in words is "forty-eight billion, three hundred twenty-eight million, nine hundred sixty thousand, six hundred eighty".