Search a number
-
+
99911939832 = 23332350939511
BaseRepresentation
bin101110100001100110…
…1110011011011111000
3100112220000221102102000
41131003031303123320
53114104424033312
6113522055341000
710134624322215
oct1350315633370
9315800842360
1099911939832
113941075a201
1217444381760
1395634b9733
144b9b49ab0c
1528eb642adc
hex17433736f8

99911939832 has 128 divisors (see below), whose sum is σ = 290176128000. Its totient is φ = 31792590720.

The previous prime is 99911939797. The next prime is 99911939851. The reversal of 99911939832 is 23893911999.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 99911939832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508957 + ... + 2548467.

It is an arithmetic number, because the mean of its divisors is an integer number (2267001000).

Almost surely, 299911939832 is an apocalyptic number.

99911939832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is a pronic number, being equal to 316088×316089.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99911939832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145088064000).

99911939832 is an abundant number, since it is smaller than the sum of its proper divisors (190264188168).

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

99911939832 is a wasteful number, since it uses less digits than its factorization.

99911939832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40058 (or 40048 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 63.

The spelling of 99911939832 in words is "ninety-nine billion, nine hundred eleven million, nine hundred thirty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 509 552 621 828 1018 1242 1527 1656 2036 2484 3054 4072 4581 4968 6108 9162 11707 12216 13743 18324 23414 27486 35121 36648 39511 46828 54972 70242 79022 93656 105363 109944 118533 140484 158044 210726 237066 280968 316088 316089 355599 421452 474132 632178 711198 842904 908753 948264 1066797 1264356 1422396 1817506 2133594 2528712 2726259 2844792 3635012 4267188 5452518 7270024 8178777 8534376 10905036 16357554 20111099 21810072 24536331 32715108 40222198 49072662 60333297 65430216 80444396 98145324 120666594 160888792 180999891 196290648 241333188 361999782 462555277 482666376 542999673 723999564 925110554 1085999346 1387665831 1447999128 1850221108 2171998692 2775331662 3700442216 4162997493 4343997384 5550663324 8325994986 11101326648 12488992479 16651989972 24977984958 33303979944 49955969916 99911939832