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38203047936 = 214325092
BaseRepresentation
bin100011100101000101…
…000100000000000000
310122121102202220200100
4203211011010000000
51111214440013221
625314503522400
72521464356334
oct434505040000
9118542686610
1038203047936
1115224696399
1274a2159400
1337aa9bb911
141bc5a897c4
15ed8d81926
hex8e5144000

38203047936 has 135 divisors (see below), whose sum is σ = 110578237861. Its totient is φ = 12709330944.

The previous prime is 38203047913. The next prime is 38203047941. The reversal of 38203047936 is 63974030283.

The square root of 38203047936 is 195456.

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

It can be written as a sum of positive squares in only one way, i.e., 31066177536 + 7136870400 = 176256^2 + 84480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38203047891 and 38203047900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75054850 + ... + 75055358.

Almost surely, 238203047936 is an apocalyptic number.

38203047936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38203047936 is the 195456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38203047936

38203047936 is an abundant number, since it is smaller than the sum of its proper divisors (72375189925).

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

38203047936 is an frugal number, since it uses more digits than its factorization.

38203047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 38203047936 in words is "thirty-eight billion, two hundred three million, forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1024 1152 1527 1536 2036 2048 2304 3054 3072 4072 4096 4581 4608 6108 6144 8144 8192 9162 9216 12216 12288 16288 16384 18324 18432 24432 24576 32576 36648 36864 48864 49152 65152 73296 73728 97728 130304 146592 147456 195456 259081 260608 293184 390912 518162 521216 586368 777243 781824 1036324 1042432 1172736 1554486 1563648 2072648 2084864 2331729 2345472 3108972 3127296 4145296 4169728 4663458 4690944 6217944 6254592 8290592 8339456 9326916 9381888 12435888 12509184 16581184 18653832 18763776 24871776 25018368 33162368 37307664 37527552 49743552 66324736 74615328 75055104 99487104 132649472 149230656 198974208 265298944 298461312 397948416 530597888 596922624 795896832 1061195776 1193845248 1591793664 2122391552 2387690496 3183587328 4244783104 4775380992 6367174656 9550761984 12734349312 19101523968 38203047936