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99381971808 = 25327232143331
BaseRepresentation
bin101110010001110100…
…0001000101101100000
3100111112002201020221200
41130203220020231200
53112013241044213
6113353324321200
710115530552020
oct1344350105540
9314462636850
1099381971808
11391695943a9
12173169a3200
1394aa7710a2
144b4ad43a80
1528b9d5a273
hex1723a08b60

99381971808 has 144 divisors (see below), whose sum is σ = 337034670336. Its totient is φ = 27160277760.

The previous prime is 99381971803. The next prime is 99381971809. The reversal of 99381971808 is 80817918399.

99381971808 is a `hidden beast` number, since 99 + 381 + 97 + 1 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×993819718082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99381971803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025298 + ... + 1118033.

It is an arithmetic number, because the mean of its divisors is an integer number (2340518544).

Almost surely, 299381971808 is an apocalyptic number.

It is an amenable number.

99381971808 is an abundant number, since it is smaller than the sum of its proper divisors (237652698528).

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

99381971808 is a wasteful number, since it uses less digits than its factorization.

99381971808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143377 (or 2143366 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 99381971808 in words is "ninety-nine billion, three hundred eighty-one million, nine hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 2143331 4286662 6429993 8573324 12859986 15003317 17146648 19289979 25719972 30006634 34293296 38579958 45009951 49296613 51439944 60013268 68586592 77159916 90019902 98593226 102879888 120026536 135029853 147889839 154319832 180039804 197186452 205759776 240053072 270059706 295779678 308639664 345076291 360079608 394372904 443669517 480106144 540119412 591559356 617279328 690152582 720159216 788745808 887339034 1035228873 1080238824 1183118712 1380305164 1440318432 1577491616 1774678068 2070457746 2160477648 2366237424 2760610328 3105686619 3549356136 4140915492 4320955296 4732474848 5521220656 6211373238 7098712272 8281830984 11042441312 12422746476 14197424544 16563661968 24845492952 33127323936 49690985904 99381971808