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102184243644 = 223731238116481
BaseRepresentation
bin101111100101010100…
…1111101000110111100
3100202202101200102020110
41133022221331012330
53133233131244034
6114535350550020
710245135511530
oct1371251750674
9322671612213
10102184243644
113a37738373a
1217979368310
1398361b53c2
144d35199bc0
1529d0d92de9
hex17caa7d1bc

102184243644 has 96 divisors (see below), whose sum is σ = 281416568832. Its totient is φ = 28240128000.

The previous prime is 102184243643. The next prime is 102184243663. The reversal of 102184243644 is 446342481201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102184243643) 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, 6191884 + ... + 6208364.

It is an arithmetic number, because the mean of its divisors is an integer number (2931422592).

Almost surely, 2102184243644 is an apocalyptic number.

102184243644 is a gapful number since it is divisible by the number (14) 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 102184243644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140708284416).

102184243644 is an abundant number, since it is smaller than the sum of its proper divisors (179232325188).

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

102184243644 is a wasteful number, since it uses less digits than its factorization.

102184243644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 102184243644 in words is "one hundred two billion, one hundred eighty-four million, two hundred forty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2381 2604 4762 7143 9524 14286 16481 16667 28572 32962 33334 49443 50001 65924 66668 73811 98886 100002 115367 147622 197772 200004 221433 230734 295244 346101 442866 461468 510911 516677 692202 885732 1021822 1033354 1384404 1532733 1550031 2043644 2066708 3065466 3100062 3576377 6130932 6200124 7152754 10729131 14305508 21458262 39241261 42916524 78482522 117723783 156965044 235447566 274688827 470895132 549377654 824066481 1098755308 1216479091 1648132962 2432958182 3296265924 3649437273 4865916364 7298874546 8515353637 14597749092 17030707274 25546060911 34061414548 51092121822 102184243644