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38227276746 = 2321731922751
BaseRepresentation
bin100011100110100001…
…011111001111001010
310122200010100212100200
4203212201133033022
51111242140323441
625321131113030
72522210330301
oct434641371712
9118603325320
1038227276746
11152373348aa
1274aa2a2776
1337b2a22aa9
141bc8d95438
15edb06a7b6
hex8e685f3ca

38227276746 has 96 divisors (see below), whose sum is σ = 92637043200. Its totient is φ = 11361168000.

The previous prime is 38227276721. The next prime is 38227276751. The reversal of 38227276746 is 64767272283.

It is a happy number.

It is a super-2 number, since 2×382272767462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38227276692 and 38227276701.

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 47 ways as a sum of consecutive naturals, for example, 1668871 + ... + 1691621.

It is an arithmetic number, because the mean of its divisors is an integer number (964969200).

Almost surely, 238227276746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38227276746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46318521600).

38227276746 is an abundant number, since it is smaller than the sum of its proper divisors (54409766454).

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

38227276746 is a wasteful number, since it uses less digits than its factorization.

38227276746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22829 (or 22792 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 38227276746 in words is "thirty-eight billion, two hundred twenty-seven million, two hundred seventy-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 289 306 323 342 578 646 867 969 1734 1938 2601 2907 4913 5202 5491 5814 9826 10982 14739 16473 22751 29478 32946 44217 45502 49419 68253 88434 93347 98838 136506 186694 204759 280041 386767 409518 432269 560082 773534 840123 864538 1160301 1296807 1680246 2320602 2593614 3480903 3890421 6575039 6961806 7348573 7780842 13150078 14697146 19725117 22045719 39450234 44091438 59175351 66137157 111775663 118350702 124925741 132274314 223551326 249851482 335326989 374777223 670653978 749554446 1005980967 1124331669 2011961934 2123737597 2248663338 4247475194 6371212791 12742425582 19113638373 38227276746