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38469800223872 = 2710920631336547
BaseRepresentation
bin10001011111100111100101…
…10001101110010010000000
312001012200021112002021212222
420233303302301232102000
520020242122324130442
6213452440544310212
711050231340413433
oct1057636261562200
9161180245067788
1038469800223872
1111291a50358a16
124393856312368
1318608c05ac954
1496dd3c07d81a
1546aa4b4358d2
hex22fcf2c6e480

38469800223872 has 64 divisors (see below), whose sum is σ = 77379713769600. Its totient is φ = 19049180673024.

The previous prime is 38469800223863. The next prime is 38469800223913. The reversal of 38469800223872 is 27832200896483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28114703 + ... + 29451249.

It is an arithmetic number, because the mean of its divisors is an integer number (1209058027650).

Almost surely, 238469800223872 is an apocalyptic number.

38469800223872 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 38469800223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689856884800).

38469800223872 is an abundant number, since it is smaller than the sum of its proper divisors (38909913545728).

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

38469800223872 is a wasteful number, since it uses less digits than its factorization.

38469800223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338733 (or 1338721 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 62.

The spelling of 38469800223872 in words is "thirty-eight trillion, four hundred sixty-nine billion, eight hundred million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 2063 3488 4126 6976 8252 13952 16504 33008 66016 132032 224867 264064 449734 899468 1336547 1798936 2673094 3597872 5346188 7195744 10692376 14391488 21384752 28782976 42769504 85539008 145683623 171078016 291367246 582734492 1165468984 2330937968 2757296461 4661875936 5514592922 9323751872 11029185844 18647503744 22058371688 44116743376 88233486752 176466973504 300545314249 352933947008 601090628498 1202181256996 2404362513992 4808725027984 9617450055968 19234900111936 38469800223872