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2058033744 = 2434132347113
BaseRepresentation
bin111101010101011…
…0001101001010000
312022102112221120000
41322222301221100
513203324034434
6540114450000
7101666666244
oct17252615120
95272487500
102058033744
11966785238
12495293900
1326a4b6360
14157484424
15c0a27b99
hex7aab1a50

2058033744 has 400 divisors, whose sum is σ = 6896558592. Its totient is φ = 587575296.

The previous prime is 2058033737. The next prime is 2058033781. The reversal of 2058033744 is 4473308502.

It is a happy number.

2058033744 is a `hidden beast` number, since 2 + 0 + 580 + 3 + 3 + 74 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2058033699 and 2058033708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18212632 + ... + 18212744.

Almost surely, 22058033744 is an apocalyptic number.

2058033744 is a gapful number since it is divisible by the number (24) 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 2058033744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296).

2058033744 is an abundant number, since it is smaller than the sum of its proper divisors (4838524848).

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

2058033744 is a wasteful number, since it uses less digits than its factorization.

2058033744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2058033744 is about 45365.5568024906. The cubic root of 2058033744 is about 1271.9913669759.

The spelling of 2058033744 in words is "two billion, fifty-eight million, thirty-three thousand, seven hundred forty-four".