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100648227480 = 2335531071311129
BaseRepresentation
bin101110110111100011…
…0100001001010011000
3100121210100101201011220
41131233012201022120
53122111421234410
6114123120452040
710162104550353
oct1355706411230
9317710351156
10100648227480
1139759333a99
121760aa7a020
13964cbc29b8
144c2b19d29a
1529410d2070
hex176f1a1298

100648227480 has 256 divisors, whose sum is σ = 313164403200. Its totient is φ = 25864949760.

The previous prime is 100648227469. The next prime is 100648227553. The reversal of 100648227480 is 84722846001.

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, 89147556 + ... + 89148684.

It is an arithmetic number, because the mean of its divisors is an integer number (1223298450).

Almost surely, 2100648227480 is an apocalyptic number.

100648227480 is a gapful number since it is divisible by the number (10) 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 100648227480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156582201600).

100648227480 is an abundant number, since it is smaller than the sum of its proper divisors (212516175720).

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

100648227480 is a wasteful number, since it uses less digits than its factorization.

100648227480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 100648227480 in words is "one hundred billion, six hundred forty-eight million, two hundred twenty-seven thousand, four hundred eighty".