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58438048668 = 223197116322147
BaseRepresentation
bin110110011011001011…
…011101101110011100
312120211122111110022220
4312123023131232130
51424140120024133
642502430105340
74136102134506
oct663313355634
9176748443286
1058438048668
112286883399a
12b3aa94b250
135683c86a2c
142b85264d76
1517c056c5b3
hexd9b2ddb9c

58438048668 has 96 divisors (see below), whose sum is σ = 146453207040. Its totient is φ = 18081766080.

The previous prime is 58438048667. The next prime is 58438048771. The reversal of 58438048668 is 86684083485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58438048667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627571 + ... + 2649717.

It is an arithmetic number, because the mean of its divisors is an integer number (1525554240).

Almost surely, 258438048668 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 58438048668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73226603520).

58438048668 is an abundant number, since it is smaller than the sum of its proper divisors (88015158372).

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

58438048668 is a wasteful number, since it uses less digits than its factorization.

58438048668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22407 (or 22405 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 58438048668 in words is "fifty-eight billion, four hundred thirty-eight million, forty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 163 213 228 284 326 426 489 652 852 978 1349 1956 2698 3097 4047 5396 6194 8094 9291 11573 12388 16188 18582 22147 23146 34719 37164 44294 46292 66441 69438 88588 132882 138876 219887 265764 420793 439774 659661 841586 879548 1262379 1319322 1572437 1683172 2524758 2638644 3144874 3609961 4717311 5049516 6289748 7219922 9434622 10829883 14439844 18869244 21659766 29876303 43319532 59752606 68589259 89628909 119505212 137178518 179257818 205767777 256307231 274357036 358515636 411535554 512614462 768921693 823071108 1025228924 1537843386 3075686772 4869837389 9739674778 14609512167 19479349556 29219024334 58438048668