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58009330800 = 24325283194141
BaseRepresentation
bin110110000001101000…
…000010010001110000
312112201202210022222100
4312001220002101300
51422300342041200
642352113140400
74122345114261
oct660150022160
9175652708870
1058009330800
1122668833903
12b2ab25a700
1356161cbc15
142b44346968
151797ad4d00
hexd81a02470

58009330800 has 180 divisors, whose sum is σ = 203734944504. Its totient is φ = 15282700800.

The previous prime is 58009330781. The next prime is 58009330849. The reversal of 58009330800 is 803390085.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201730 + ... + 395870.

Almost surely, 258009330800 is an apocalyptic number.

58009330800 is a gapful number since it is divisible by the number (50) 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 58009330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101867472252).

58009330800 is an abundant number, since it is smaller than the sum of its proper divisors (145725613704).

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

58009330800 is a wasteful number, since it uses less digits than its factorization.

58009330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194248 (or 194234 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 58009330800 in words is "fifty-eight billion, nine million, three hundred thirty thousand, eight hundred".