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6058717408 = 25232713
BaseRepresentation
bin1011010010010000…
…01011000011100000
3120122020112201211001
411221020023003200
544402012424113
62441111201344
7303066151102
oct55110130340
916566481731
106058717408
112629a96077
121211076254
137572b6cb3
14416935572
15256d857dd
hex16920b0e0

6058717408 has 72 divisors (see below), whose sum is σ = 12647393136. Its totient is φ = 2856835520.

The previous prime is 6058717393. The next prime is 6058717411. The reversal of 6058717408 is 8047178506.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85334013 + ... + 85334083.

It is an arithmetic number, because the mean of its divisors is an integer number (175658238).

Almost surely, 26058717408 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 6058717408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323696568).

6058717408 is an abundant number, since it is smaller than the sum of its proper divisors (6588675728).

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

6058717408 is an frugal number, since it uses more digits than its factorization.

6058717408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 6058717408 is about 77837.7633799944. The cubic root of 6058717408 is about 1823.0289505309.

Multiplying 6058717408 by its sum of digits (46), we get a cube (278701000768 = 65323).

The spelling of 6058717408 in words is "six billion, fifty-eight million, seven hundred seventeen thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 529 568 736 1058 1136 1633 2116 2272 3266 4232 5041 6532 8464 10082 13064 16928 20164 26128 37559 40328 52256 75118 80656 115943 150236 161312 231886 300472 357911 463772 600944 715822 927544 1201888 1431644 1855088 2666689 2863288 3710176 5333378 5726576 8231953 10666756 11453152 16463906 21333512 32927812 42667024 65855624 85334048 131711248 189334919 263422496 378669838 757339676 1514679352 3029358704 6058717408