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108158661540 = 223258957711701
BaseRepresentation
bin110010010111011000…
…0100011001110100100
3101100011202121021212100
41210232300203032210
53233002104132130
6121404251252100
710546162311516
oct1445660431644
9340152537770
10108158661540
1141962821296
1218b6614a030
13a278b95017
145340829bb6
152c30625c60
hex192ec233a4

108158661540 has 144 divisors (see below), whose sum is σ = 332370969840. Its totient is φ = 28466380800.

The previous prime is 108158661529. The next prime is 108158661547. The reversal of 108158661540 is 45166851801.

108158661540 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 586 + 61 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7374000384 + 100784661156 = 85872^2 + 317466^2 .

It is a super-2 number, since 2×1081586615402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (108158661547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9237690 + ... + 9249390.

It is an arithmetic number, because the mean of its divisors is an integer number (2308131735).

Almost surely, 2108158661540 is an apocalyptic number.

108158661540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108158661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166185484920).

108158661540 is an abundant number, since it is smaller than the sum of its proper divisors (224212308300).

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

108158661540 is a wasteful number, since it uses less digits than its factorization.

108158661540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 108158661540 in words is "one hundred eight billion, one hundred fifty-eight million, six hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 577 801 890 1068 1154 1335 1602 1731 1780 2308 2670 2885 3204 3462 4005 5193 5340 5770 6924 8010 8655 10386 11540 11701 16020 17310 20772 23402 25965 34620 35103 46804 51353 51930 58505 70206 102706 103860 105309 117010 140412 154059 175515 205412 210618 234020 256765 308118 351030 421236 462177 513530 526545 616236 702060 770295 924354 1027060 1041389 1053090 1540590 1848708 2082778 2106180 2310885 3081180 3124167 4165556 4621770 5206945 6248334 6751477 9243540 9372501 10413890 12496668 13502954 15620835 18745002 20254431 20827780 27005908 31241670 33757385 37490004 40508862 46862505 60763293 62483340 67514770 81017724 93725010 101272155 121526586 135029540 187450020 202544310 243053172 303816465 405088620 600881453 607632930 1201762906 1215265860 1802644359 2403525812 3004407265 3605288718 5407933077 6008814530 7210577436 9013221795 10815866154 12017629060 18026443590 21631732308 27039665385 36052887180 54079330770 108158661540