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58312049796 = 223371113712107
BaseRepresentation
bin110110010011101010…
…110100010010000100
312120111212102001101000
4312103222310102010
51423410341043141
642442125333300
74133012150040
oct662352642204
9176455361330
1058312049796
11228036a50a0
12b374707230
135663b3c4a0
142b72627020
1517b447e5b6
hexd93ab4484

58312049796 has 576 divisors, whose sum is σ = 207805409280. Its totient is φ = 13655174400.

The previous prime is 58312049779. The next prime is 58312049821. The reversal of 58312049796 is 69794021385.

58312049796 is a `hidden beast` number, since 58 + 3 + 12 + 0 + 497 + 96 = 666.

It is a super-2 number, since 2×583120497962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 544972375 + ... + 544972481.

It is an arithmetic number, because the mean of its divisors is an integer number (360773280).

It is a 1-persistent number, because it is pandigital, but 2⋅58312049796 = 116624099592 is not.

Almost surely, 258312049796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58312049796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103902704640).

58312049796 is an abundant number, since it is smaller than the sum of its proper divisors (149493359484).

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

58312049796 is a wasteful number, since it uses less digits than its factorization.

58312049796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 58312049796 in words is "fifty-eight billion, three hundred twelve million, forty-nine thousand, seven hundred ninety-six".