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58235790420 = 22325179872
BaseRepresentation
bin110110001111000111…
…111010010001010100
312120022112220200011200
4312033013322101110
51423231330243140
642430403032500
74131065023353
oct661707722124
9176275820150
1058235790420
1122774649315
12b35306b730
1356510bb8b2
142b6645599a
1517ac919030
hexd8f1fa454

58235790420 has 54 divisors (see below), whose sum is σ = 176658385722. Its totient is φ = 15528680736.

The previous prime is 58235790409. The next prime is 58235790433. The reversal of 58235790420 is 2409753285.

58235790420 is a `hidden beast` number, since 58 + 2 + 3 + 579 + 0 + 4 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46588632336 + 11647158084 = 215844^2 + 107922^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3228667 + ... + 3246653.

Almost surely, 258235790420 is an apocalyptic number.

It is an amenable number.

58235790420 is an abundant number, since it is smaller than the sum of its proper divisors (118422595302).

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

58235790420 is an equidigital number, since it uses as much as digits as its factorization.

58235790420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35989 (or 17997 counting only the distinct ones).

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

Multiplying 58235790420 by its sum of digits (45), we get a square (2620610568900 = 16188302).

58235790420 divided by its sum of digits (45) gives a square (1294128676 = 359742).

The spelling of 58235790420 in words is "fifty-eight billion, two hundred thirty-five million, seven hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17987 35974 53961 71948 89935 107922 161883 179870 215844 269805 323766 359740 539610 647532 809415 1079220 1618830 3237660 323532169 647064338 970596507 1294128676 1617660845 1941193014 2911789521 3235321690 3882386028 4852982535 5823579042 6470643380 9705965070 11647158084 14558947605 19411930140 29117895210 58235790420