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58794016384 = 271742536353
BaseRepresentation
bin110110110000011001…
…010111111010000000
312121202110022111020101
4312300121113322000
51430402232011014
643002023452144
74150653615325
oct666031277200
9177673274211
1058794016384
1122a30764794
12b489bb7054
13570c94c30c
142bba646b4c
1517e1934474
hexdb0657e80

58794016384 has 64 divisors (see below), whose sum is σ = 124067314440. Its totient is φ = 27656912896.

The previous prime is 58794016331. The next prime is 58794016429. The reversal of 58794016384 is 48361049785.

It can be written as a sum of positive squares in 4 ways, for example, as 45539560000 + 13254456384 = 213400^2 + 115128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×587940163843 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9251352 + ... + 9257704.

Almost surely, 258794016384 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 58794016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62033657220).

58794016384 is an abundant number, since it is smaller than the sum of its proper divisors (65273298056).

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

58794016384 is a wasteful number, since it uses less digits than its factorization.

58794016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 58794016384 in words is "fifty-eight billion, seven hundred ninety-four million, sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4253 6353 8506 12706 17012 25412 34024 50824 68048 72301 101648 108001 136096 144602 203296 216002 272192 289204 406592 432004 544384 578408 813184 864008 1156816 1728016 2313632 3456032 4627264 6912064 9254528 13824128 27019309 54038618 108077236 216154472 432308944 459328253 864617888 918656506 1729235776 1837313012 3458471552 3674626024 7349252048 14698504096 29397008192 58794016384