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38291519712 = 2531725326041
BaseRepresentation
bin100011101010010110…
…100011100011100000
310122211121020202010210
4203222112203203200
51111410112112322
625331344054120
72523620355465
oct435226434340
9118747222123
1038291519712
111526a623566
127507904340
1337c3127094
141bd371966c
15ee1a0a70c
hex8ea5a38e0

38291519712 has 144 divisors (see below), whose sum is σ = 108794517552. Its totient is φ = 11785912320.

The previous prime is 38291519689. The next prime is 38291519719. The reversal of 38291519712 is 21791519283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38291519719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457412 + ... + 1483452.

It is an arithmetic number, because the mean of its divisors is an integer number (755517483).

Almost surely, 238291519712 is an apocalyptic number.

38291519712 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 38291519712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397258776).

38291519712 is an abundant number, since it is smaller than the sum of its proper divisors (70502997840).

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

38291519712 is a wasteful number, since it uses less digits than its factorization.

38291519712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26141 (or 26116 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 38291519712 in words is "thirty-eight billion, two hundred ninety-one million, five hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 289 318 408 424 544 578 636 816 848 867 901 1156 1272 1632 1696 1734 1802 2312 2544 2703 3468 3604 4624 5088 5406 6936 7208 9248 10812 13872 14416 15317 21624 26041 27744 28832 30634 43248 45951 52082 61268 78123 86496 91902 104164 122536 156246 183804 208328 245072 312492 367608 416656 442697 490144 624984 735216 833312 885394 1249968 1328091 1380173 1470432 1770788 2499936 2656182 2760346 3541576 4140519 5312364 5520692 7083152 7525849 8281038 10624728 11041384 14166304 15051698 16562076 21249456 22082768 22577547 23462941 30103396 33124152 42498912 44165536 45155094 46925882 60206792 66248304 70388823 90310188 93851764 120413584 132496608 140777646 180620376 187703528 240827168 281555292 361240752 375407056 398869997 563110584 722481504 750814112 797739994 1126221168 1196609991 1595479988 2252442336 2393219982 3190959976 4786439964 6381919952 9572879928 12763839904 19145759856 38291519712