Search a number
-
+
381291974374788 = 223329630119320859
BaseRepresentation
bin101011010110010000111010…
…0101100000011010110000100
31212000001011020021112001122000
41112230201310230003112010
5344434041430414443123
63430535040451305300
7143212302400603641
oct12654416454032604
91760034207461560
10381291974374788
11100545022300844
1236920b328ab230
131349a8a97186b9
146a228b6b1adc8
152e1342c80eb43
hex15ac874b03584

381291974374788 has 96 divisors (see below), whose sum is σ = 1022784501648000. Its totient is φ = 122695176643200.

The previous prime is 381291974374781. The next prime is 381291974374867. The reversal of 381291974374788 is 887473479192183.

381291974374788 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 91 + 97 + 4 + 374 + 78 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (381291974374781) 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, 10074303 + ... + 29395161.

It is an arithmetic number, because the mean of its divisors is an integer number (10654005225500).

Almost surely, 2381291974374788 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 381291974374788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511392250824000).

381291974374788 is an abundant number, since it is smaller than the sum of its proper divisors (641492527273212).

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

381291974374788 is a wasteful number, since it uses less digits than its factorization.

381291974374788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19327202 (or 19327194 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 381291974374788 in words is "three hundred eighty-one trillion, two hundred ninety-one billion, nine hundred seventy-four million, three hundred seventy-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 6301 12602 18903 25204 37806 56709 75612 113418 170127 182729 226836 340254 365458 548187 680508 730916 1096374 1644561 2192748 3289122 4933683 6578244 9867366 19320859 19734732 38641718 57962577 77283436 115925154 173887731 231850308 347775462 521663193 560304911 695550924 1043326386 1120609822 1680914733 2086652772 2241219644 3361829466 5042744199 6723658932 10085488398 15128232597 20170976796 30256465194 60512930388 121740732559 243481465118 365222197677 486962930236 730444395354 1095666593031 1460888790708 2191333186062 3286999779093 3530481244211 4382666372124 6573999558186 7060962488422 10591443732633 13147999116372 14121924976844 21182887465266 31774331197899 42365774930532 63548662395798 95322993593697 127097324791596 190645987187394 381291974374788