Search a number
-
+
190314147085758 = 232172235215353121
BaseRepresentation
bin101011010001011011110111…
…001000011111110110111110
3220221211212002010120020210100
4223101123313020133312332
5144421101333123221013
61512433040122421530
755041512660052543
oct5321336710376676
9827755063506710
10190314147085758
115570485a606543
12194181a69618a6
138226715b8c727
1434dd37a87abca
1517007937e4473
hexad16f721fdbe

190314147085758 has 96 divisors (see below), whose sum is σ = 439402754149632. Its totient is φ = 59324560588800.

The previous prime is 190314147085757. The next prime is 190314147085759. The reversal of 190314147085758 is 857580741413091.

190314147085758 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 1 + 414 + 70 + 85 + 75 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (190314147085757) and next prime (190314147085759).

It is a junction number, because it is equal to n+sod(n) for n = 190314147085695 and 190314147085704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190314147085757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32875438 + ... + 38228558.

It is an arithmetic number, because the mean of its divisors is an integer number (4577112022392).

Almost surely, 2190314147085758 is an apocalyptic number.

190314147085758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190314147085758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219701377074816).

190314147085758 is an abundant number, since it is smaller than the sum of its proper divisors (249088607063874).

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

190314147085758 is a wasteful number, since it uses less digits than its factorization.

190314147085758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353890 (or 5353887 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 190314147085758 in words is "one hundred ninety trillion, three hundred fourteen billion, one hundred forty-seven million, eighty-five thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 223 306 446 521 669 1042 1338 1563 2007 3126 3791 4014 4689 7582 8857 9378 11373 17714 22746 26571 34119 53142 68238 79713 116183 159426 232366 348549 697098 1045647 1975111 2091294 3950222 5353121 5925333 10706242 11850666 16059363 17775999 32118726 35551998 48178089 91003057 96356178 182006114 273009171 546018342 819027513 1193745983 1638055026 2387491966 2788976041 3581237949 5577952082 7162475898 8366928123 10743713847 16733856246 20293681711 21487427694 25100784369 40587363422 47412592697 50201568738 60881045133 94825185394 121762090266 142237778091 182643135399 284475556182 365286270798 426713334273 621941657143 853426668546 1243883314286 1865824971429 3731649942858 5597474914287 10573008171431 11194949828574 21146016342862 31719024514293 63438049028586 95157073542879 190314147085758