Search a number
-
+
58381721616 = 2433787737483
BaseRepresentation
bin110110010111110100…
…100110000000010000
312120200201111202010210
4312113310212000100
51424031210042431
642453054524120
74134516305631
oct662764460020
9176621452123
1058381721616
1122839a61609
12b393b06640
1356753c480a
142b7b9a1888
1517ba642d46
hexd97d26010

58381721616 has 80 divisors (see below), whose sum is σ = 155076405824. Its totient is φ = 18912517632.

The previous prime is 58381721611. The next prime is 58381721621. The reversal of 58381721616 is 61612718385.

It is an interprime number because it is at equal distance from previous prime (58381721611) and next prime (58381721621).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58381721611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1538811 + ... + 1576293.

Almost surely, 258381721616 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 58381721616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77538202912).

58381721616 is an abundant number, since it is smaller than the sum of its proper divisors (96694684208).

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

58381721616 is a wasteful number, since it uses less digits than its factorization.

58381721616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408 (or 38402 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 58381721616 in words is "fifty-eight billion, three hundred eighty-one million, seven hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 877 888 1754 1776 2631 3508 5262 7016 10524 14032 21048 32449 37483 42096 64898 74966 97347 112449 129796 149932 194694 224898 259592 299864 389388 449796 519184 599728 778776 899592 1386871 1557552 1799184 2773742 4160613 5547484 8321226 11094968 16642452 22189936 32872591 33284904 65745182 66569808 98617773 131490364 197235546 262980728 394471092 525961456 788942184 1216285867 1577884368 2432571734 3648857601 4865143468 7297715202 9730286936 14595430404 19460573872 29190860808 58381721616