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38364199552 = 277227122571
BaseRepresentation
bin100011101110101011…
…110011101010000000
310200000200000021010201
4203232223303222000
51112032213341202
625342501534544
72525462213200
oct435653635200
9120020007121
1038364199552
11152a7654a48
127528114454
1338051c35c3
141bdd238400
15ee80b5387
hex8eeaf3a80

38364199552 has 96 divisors (see below), whose sum is σ = 89238853440. Its totient is φ = 16380403200.

The previous prime is 38364199529. The next prime is 38364199553. The reversal of 38364199552 is 25599146383.

38364199552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38364199493 and 38364199502.

It is not an unprimeable number, because it can be changed into a prime (38364199553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1688427 + ... + 1710997.

It is an arithmetic number, because the mean of its divisors is an integer number (929571390).

Almost surely, 238364199552 is an apocalyptic number.

38364199552 is a gapful number since it is divisible by the number (32) 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 38364199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44619426720).

38364199552 is an abundant number, since it is smaller than the sum of its proper divisors (50874653888).

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

38364199552 is a wasteful number, since it uses less digits than its factorization.

38364199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22870 (or 22851 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 38364199552 in words is "thirty-eight billion, three hundred sixty-four million, one hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 271 392 448 542 784 896 1084 1568 1897 2168 3136 3794 4336 6272 7588 8672 13279 15176 17344 22571 26558 30352 34688 45142 53116 60704 90284 106232 121408 157997 180568 212464 242816 315994 361136 424928 631988 722272 849856 1105979 1263976 1444544 1699712 2211958 2527952 2889088 4423916 5055904 6116741 8847832 10111808 12233482 17695664 20223616 24466964 35391328 42817187 48933928 70782656 85634374 97867856 141565312 171268748 195735712 299720309 342537496 391471424 599440618 685074992 782942848 1198881236 1370149984 2397762472 2740299968 4795524944 5480599936 9591049888 19182099776 38364199552