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38348996427 = 337192678389
BaseRepresentation
bin100011101101110001…
…110011111101001011
310122222121101212101000
4203231301303331023
51112014320341202
625341200030043
72525216043210
oct435561637513
9118877355330
1038348996427
111529a010685
127523002323
133801ccc681
141bdb1dbb07
15ee6ab091c
hex8edc73f4b

38348996427 has 96 divisors (see below), whose sum is σ = 69557798400. Its totient is φ = 20448065088.

The previous prime is 38348996419. The next prime is 38348996437. The reversal of 38348996427 is 72469984383.

38348996427 is a `hidden beast` number, since 3 + 83 + 48 + 9 + 96 + 427 = 666.

It is not a de Polignac number, because 38348996427 - 23 = 38348996419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38348996417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4567149 + ... + 4575537.

It is an arithmetic number, because the mean of its divisors is an integer number (724560400).

Almost surely, 238348996427 is an apocalyptic number.

38348996427 is a deficient number, since it is larger than the sum of its proper divisors (31208801973).

38348996427 is a wasteful number, since it uses less digits than its factorization.

38348996427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8485 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 38348996427 in words is "thirty-eight billion, three hundred forty-eight million, nine hundred ninety-six thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 67 133 171 189 201 361 399 469 513 603 1083 1197 1273 1407 1809 2527 3249 3591 3819 4221 7581 8389 8911 9747 11457 12663 22743 24187 25167 26733 34371 58723 68229 72561 75501 80199 159391 169309 176169 217683 226503 240597 478173 507927 528507 562063 653049 1115737 1434519 1523781 1585521 1686189 3028429 3347211 3934441 4303557 4571343 5058567 9085287 10041633 10679197 11803323 15175701 21199003 27255861 30124899 32037591 35409969 63597009 74754379 81767583 96112773 106229907 190791027 202904743 224263137 288338319 572373081 608714229 672789411 1420333201 1826142687 2018368233 4260999603 5478428061 12782998809 38348996427