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58227092352 = 2735111321953
BaseRepresentation
bin110110001110100110…
…101110101110000000
312120021221112202200000
4312032212232232000
51423222113423402
642425452400000
74130631055512
oct661646565600
9176257482600
1058227092352
112276a748330
12b350176000
13564c364800
142b6522dbb2
1517abc9bc1c
hexd8e9aeb80

58227092352 has 1152 divisors, whose sum is σ = 220139337600. Its totient is φ = 15138938880.

The previous prime is 58227092323. The next prime is 58227092387. The reversal of 58227092352 is 25329072285.

58227092352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 58227092298 and 58227092307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1098624358 + ... + 1098624410.

It is an arithmetic number, because the mean of its divisors is an integer number (191093175).

Almost surely, 258227092352 is an apocalyptic number.

58227092352 is a gapful number since it is divisible by the number (52) 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 58227092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110069668800).

58227092352 is an abundant number, since it is smaller than the sum of its proper divisors (161912245248).

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

58227092352 is a wasteful number, since it uses less digits than its factorization.

58227092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 58227092352 in words is "fifty-eight billion, two hundred twenty-seven million, ninety-two thousand, three hundred fifty-two".