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244105187664 = 243131921197579
BaseRepresentation
bin1110001101010111001…
…1011001000101010000
3212100002002222100210110
43203111303121011100
512444411412001124
6304050153201320
723431103600652
oct3432563310520
9770062870713
10244105187664
1194585018518
123b386400240
131a032a31c60
14bb599846d2
15653a55d029
hex38d5cd9150

244105187664 has 160 divisors (see below), whose sum is σ = 718251251200. Its totient is φ = 70818209280.

The previous prime is 244105187657. The next prime is 244105187671. The reversal of 244105187664 is 466781501442.

It is an interprime number because it is at equal distance from previous prime (244105187657) and next prime (244105187671).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2452827 + ... + 2550405.

It is an arithmetic number, because the mean of its divisors is an integer number (4489070320).

Almost surely, 2244105187664 is an apocalyptic number.

244105187664 is a gapful number since it is divisible by the number (24) 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 244105187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359125625600).

244105187664 is an abundant number, since it is smaller than the sum of its proper divisors (474146063536).

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

244105187664 is a wasteful number, since it uses less digits than its factorization.

244105187664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97833 (or 97827 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 244105187664 in words is "two hundred forty-four billion, one hundred five million, one hundred eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 211 228 247 304 312 422 456 494 624 633 741 844 912 988 1266 1482 1688 1976 2532 2743 2964 3376 3952 4009 5064 5486 5928 8018 8229 10128 10972 11856 12027 16036 16458 21944 24054 32072 32916 43888 48108 52117 64144 65832 96216 97579 104234 131664 156351 192432 195158 208468 292737 312702 390316 416936 585474 625404 780632 833872 1170948 1250808 1268527 1561264 1854001 2341896 2501616 2537054 3708002 3805581 4683792 5074108 5562003 7416004 7611162 10148216 11124006 14832008 15222324 20296432 20589169 22248012 24102013 29664016 30444648 41178338 44496024 48204026 60889296 61767507 72306039 82356676 88992048 96408052 123535014 144612078 164713352 192816104 247070028 267659197 289224156 329426704 385632208 391194211 494140056 535318394 578448312 782388422 802977591 988280112 1070636788 1156896624 1173582633 1564776844 1605955182 2141273576 2347165266 3129553688 3211910364 4282547152 4694330532 5085524743 6259107376 6423820728 9388661064 10171049486 12847641456 15256574229 18777322128 20342098972 30513148458 40684197944 61026296916 81368395888 122052593832 244105187664