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48326129280 = 2735511134153
BaseRepresentation
bin101101000000011101…
…100011011010000000
311121201221010201200000
4231000131203122000
51242432442114110
634111204400000
73330365215122
oct550035433200
9147657121600
1048326129280
1119549927220
1294483a6000
134732041690
1424a62cb212
1513cc9531c0
hexb40763680

48326129280 has 1536 divisors, whose sum is σ = 212199886080. Its totient is φ = 10351411200.

The previous prime is 48326129273. The next prime is 48326129303. The reversal of 48326129280 is 8292162384.

48326129280 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 612 + 9 + 28 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 911813734 + ... + 911813786.

Almost surely, 248326129280 is an apocalyptic number.

48326129280 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 48326129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106099943040).

48326129280 is an abundant number, since it is smaller than the sum of its proper divisors (163873756800).

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

48326129280 is a wasteful number, since it uses less digits than its factorization.

48326129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48326129280 in words is "forty-eight billion, three hundred twenty-six million, one hundred twenty-nine thousand, two hundred eighty".