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38120219536 = 24721923672
BaseRepresentation
bin100011100000001001…
…000110001110010000
310122101122220210110211
4203200021012032100
51111032234011121
625302344333504
72516440343200
oct434011061620
9118348823424
1038120219536
1115191963173
12747a474294
1337967ab029
141bb8a88400
15ed196ece1
hex8e0246390

38120219536 has 135 divisors (see below), whose sum is σ = 90924018939. Its totient is φ = 15435209664.

The previous prime is 38120219513. The next prime is 38120219537. The reversal of 38120219536 is 63591202183.

The square root of 38120219536 is 195244.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×381202195362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38120219537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103869625 + ... + 103869991.

Almost surely, 238120219536 is an apocalyptic number.

38120219536 is the 195244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38120219536

38120219536 is an abundant number, since it is smaller than the sum of its proper divisors (52803799403).

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

38120219536 is an equidigital number, since it uses as much as digits as its factorization.

38120219536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 38120219536 in words is "thirty-eight billion, one hundred twenty million, two hundred nineteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 367 392 532 722 734 784 931 1064 1444 1468 1862 2128 2527 2569 2888 2936 3724 5054 5138 5776 5872 6973 7448 10108 10276 13946 14896 17689 17983 20216 20552 27892 35378 35966 40432 41104 48811 55784 70756 71932 97622 111568 132487 134689 141512 143864 195244 264974 269378 283024 287728 341677 390488 529948 538756 683354 780976 927409 942823 1059896 1077512 1366708 1854818 1885646 2119792 2155024 2559091 2733416 3709636 3771292 5118182 5466832 6491863 6599761 7419272 7542584 10236364 12983726 13199522 14838544 15085168 17913637 20472728 25967452 26399044 35827274 40945456 48622729 51934904 52798088 71654548 97245458 103869808 105596176 125395459 143309096 194490916 250790918 286618192 340359103 388981832 501581836 680718206 777963664 1003163672 1361436412 2006327344 2382513721 2722872824 4765027442 5445745648 9530054884 19060109768 38120219536