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38023411824 = 24331011376361
BaseRepresentation
bin100011011010010111…
…110011100001110000
310122010220202110021000
4203122113303201300
51110332443134244
625245005402000
72514153445026
oct433227634160
9118126673230
1038023411824
11151422520a2
127451b69300
13377c714568
141ba9c88716
15ec81eb169
hex8da5f3870

38023411824 has 160 divisors (see below), whose sum is σ = 111043874880. Its totient is φ = 12455424000.

The previous prime is 38023411771. The next prime is 38023411831. The reversal of 38023411824 is 42811432083.

It is a happy number.

38023411824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5974404 + ... + 5980764.

It is an arithmetic number, because the mean of its divisors is an integer number (694024218).

Almost surely, 238023411824 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 38023411824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55521937440).

38023411824 is an abundant number, since it is smaller than the sum of its proper divisors (73020463056).

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

38023411824 is a wasteful number, since it uses less digits than its factorization.

38023411824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38023411824 in words is "thirty-eight billion, twenty-three million, four hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 137 144 202 216 274 303 404 411 432 548 606 808 822 909 1096 1212 1233 1616 1644 1818 2192 2424 2466 2727 3288 3636 3699 4848 4932 5454 6361 6576 7272 7398 9864 10908 12722 13837 14544 14796 19083 19728 21816 25444 27674 29592 38166 41511 43632 50888 55348 57249 59184 76332 83022 101776 110696 114498 124533 152664 166044 171747 221392 228996 249066 305328 332088 343494 373599 457992 498132 642461 664176 686988 747198 871457 915984 996264 1284922 1373976 1494396 1742914 1927383 1992528 2569844 2614371 2747952 2988792 3485828 3854766 5139688 5228742 5782149 5977584 6971656 7709532 7843113 10279376 10457484 11564298 13943312 15419064 15686226 17346447 20914968 23128596 23529339 30838128 31372452 34692894 41829936 46257192 47058678 62744904 69385788 88017157 92514384 94117356 125489808 138771576 176034314 188234712 264051471 277543152 352068628 376469424 528102942 704137256 792154413 1056205884 1408274512 1584308826 2112411768 2376463239 3168617652 4224823536 4752926478 6337235304 9505852956 12674470608 19011705912 38023411824