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38508124284 = 223279710714723
BaseRepresentation
bin100011110111010000…
…110101100001111100
310200101200211101202100
4203313100311201330
51112331034434114
625405042425100
72532160440630
oct436720654174
9120350741670
1038508124284
1115370917803
127568362190
133828c76176
141c143c0dc0
151005a44909
hex8f743587c

38508124284 has 144 divisors (see below), whose sum is σ = 113450658048. Its totient is φ = 10786397184.

The previous prime is 38508124253. The next prime is 38508124313. The reversal of 38508124284 is 48242180583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2608147 + ... + 2622869.

It is an arithmetic number, because the mean of its divisors is an integer number (787851792).

Almost surely, 238508124284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38508124284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56725329024).

38508124284 is an abundant number, since it is smaller than the sum of its proper divisors (74942533764).

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

38508124284 is a wasteful number, since it uses less digits than its factorization.

38508124284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 38508124284 in words is "thirty-eight billion, five hundred eight million, one hundred twenty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 107 126 194 214 252 291 321 388 428 582 642 679 749 873 963 1164 1284 1358 1498 1746 1926 2037 2247 2716 2996 3492 3852 4074 4494 6111 6741 8148 8988 10379 12222 13482 14723 20758 24444 26964 29446 31137 41516 44169 58892 62274 72653 88338 93411 103061 124548 132507 145306 176676 186822 206122 217959 265014 290612 309183 373644 412244 435918 530028 618366 653877 871836 927549 1236732 1307754 1428131 1575361 1855098 2615508 2856262 3150722 3710196 4284393 4726083 5712524 6301444 8568786 9452166 9996917 11027527 12853179 14178249 17137572 18904332 19993834 22055054 25706358 28356498 29990751 33082581 39987668 44110108 51412716 56712996 59981502 66165162 89972253 99247743 119963004 132330324 152810017 179944506 198495486 305620034 359889012 396990972 458430051 611240068 916860102 1069670119 1375290153 1833720204 2139340238 2750580306 3209010357 4278680476 5501160612 6418020714 9627031071 12836041428 19254062142 38508124284