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38033911607016 = 233136116519120977
BaseRepresentation
bin10001010010111011101011…
…10010100110111011101000
311222200000011200202021210110
420221131311302212323220
514441121422332411031
6212520312054414320
711003600533330413
oct1051356562467350
9158600150667713
1038033911607016
1111134100618596
1243232880613a0
13182b77590b560
14956bcb778b7a
1545e538e7cc46
hex229775ca6ee8

38033911607016 has 128 divisors (see below), whose sum is σ = 104084825644800. Its totient is φ = 11510101831680.

The previous prime is 38033911606973. The next prime is 38033911607057. The reversal of 38033911607016 is 61070611933083.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314329120 + ... + 314450096.

It is an arithmetic number, because the mean of its divisors is an integer number (813162700350).

Almost surely, 238033911607016 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 38033911607016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52042412822400).

38033911607016 is an abundant number, since it is smaller than the sum of its proper divisors (66050914037784).

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

38033911607016 is a wasteful number, since it uses less digits than its factorization.

38033911607016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137579 (or 137575 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 38033911607016 in words is "thirty-eight trillion, thirty-three billion, nine hundred eleven million, six hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 16519 19032 33038 49557 66076 99114 120977 132152 198228 214747 241954 362931 396456 429494 483908 644241 725862 858988 967816 1007659 1288482 1451724 1572701 1717976 2015318 2576964 2903448 3022977 3145402 4030636 4718103 5153928 6045954 6290804 7379597 8061272 9436206 12091908 12581608 13099567 14759194 18872412 22138791 24183816 26199134 29518388 37744824 39298701 44277582 52398268 59036776 78597402 88555164 95934761 104796536 157194804 177110328 191869522 287804283 314389608 383739044 575608566 767478088 1151217132 1998419063 2302434264 3996838126 5995257189 7993676252 11990514378 15987352504 23981028756 25979447819 47962057512 51958895638 77938343457 103917791276 121903562843 155876686914 207835582552 243807125686 311753373828 365710688529 487614251372 623506747656 731421377058 975228502744 1462842754116 1584746316959 2925685508232 3169492633918 4754238950877 6338985267836 9508477901754 12677970535672 19016955803508 38033911607016