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38308376448 = 273265950461
BaseRepresentation
bin100011101011010110…
…110110111110000000
310122212202222011020100
4203223112312332000
51111423421021243
625333145242400
72524213553466
oct435326667600
9118782864210
1038308376448
1115279097251
127511493400
1337c6779894
141bd5a66836
15ee323a0d3
hex8eb5b6f80

38308376448 has 96 divisors (see below), whose sum is σ = 110405809800. Its totient is φ = 12749829120.

The previous prime is 38308376437. The next prime is 38308376467. The reversal of 38308376448 is 84467380383.

38308376448 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38308376394 and 38308376403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733938 + ... + 784398.

Almost surely, 238308376448 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 38308376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55202904900).

38308376448 is an abundant number, since it is smaller than the sum of its proper divisors (72097433352).

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

38308376448 is a wasteful number, since it uses less digits than its factorization.

38308376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51140 (or 51125 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 38308376448 in words is "thirty-eight billion, three hundred eight million, three hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 659 1152 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 21088 23724 31632 42176 47448 50461 63264 84352 94896 100922 126528 151383 189792 201844 253056 302766 379584 403688 454149 605532 759168 807376 908298 1211064 1614752 1816596 2422128 3229504 3633192 4844256 6459008 7266384 9688512 14532768 19377024 29065536 33253799 58131072 66507598 99761397 133015196 199522794 266030392 299284191 399045588 532060784 598568382 798091176 1064121568 1197136764 1596182352 2128243136 2394273528 3192364704 4256486272 4788547056 6384729408 9577094112 12769458816 19154188224 38308376448