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38286228736 = 287291275801
BaseRepresentation
bin100011101010000010…
…010111110100000000
310122211020021221021201
4203222002113310000
51111402233304421
625331034430544
72523524401060
oct435202276400
9118736257251
1038286228736
111526763a358
127505b92454
1337c1cc3a22
141bd2b3d3a0
15ee1312b91
hex8ea097d00

38286228736 has 144 divisors (see below), whose sum is σ = 91079331840. Its totient is φ = 15715123200.

The previous prime is 38286228713. The next prime is 38286228763. The reversal of 38286228736 is 63782268283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6597036 + ... + 6602836.

It is an arithmetic number, because the mean of its divisors is an integer number (632495360).

Almost surely, 238286228736 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 38286228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45539665920).

38286228736 is an abundant number, since it is smaller than the sum of its proper divisors (52793103104).

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

38286228736 is a wasteful number, since it uses less digits than its factorization.

38286228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5966 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 38286228736 in words is "thirty-eight billion, two hundred eighty-six million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 127 128 203 224 232 254 256 406 448 464 508 812 889 896 928 1016 1624 1778 1792 1856 2032 3248 3556 3683 3712 4064 5801 6496 7112 7366 7424 8128 11602 12992 14224 14732 16256 23204 25781 25984 28448 29464 32512 40607 46408 51562 51968 56896 58928 81214 92816 103124 113792 117856 162428 168229 185632 206248 227584 235712 324856 336458 371264 412496 471424 649712 672916 736727 742528 824992 942848 1177603 1299424 1345832 1473454 1485056 1649984 2355206 2598848 2691664 2946908 3299968 4710412 5157089 5197696 5383328 5893816 6599936 9420824 10314178 10395392 10766656 11787632 18841648 20628356 21365083 21533312 23575264 37683296 41256712 42730166 43066624 47150528 75366592 82513424 85460332 94301056 149555581 150733184 165026848 170920664 188602112 299111162 301466368 330053696 341841328 598222324 660107392 683682656 1196444648 1320214784 1367365312 2392889296 2734730624 4785778592 5469461248 9571557184 19143114368 38286228736