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38929916690238 = 2377129574414937
BaseRepresentation
bin10001101101000000100111…
…10110101111111100111110
312002211122220211101120110010
420312200103312233330332
520100311432133041423
6214444053513124050
711125410425015310
oct1066402366577476
9162748824346403
1038929916690238
111144a0a3086272
124448a663b9626
1318950c9835882
1498830a3717b0
154779ca8da693
hex236813daff3e

38929916690238 has 64 divisors (see below), whose sum is σ = 90266480206848. Its totient is φ = 10962462685440.

The previous prime is 38929916690221. The next prime is 38929916690317. The reversal of 38929916690238 is 83209661992983.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 38929916690238.

It is a congruent number.

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, 6610306 + ... + 11025242.

It is an arithmetic number, because the mean of its divisors is an integer number (1410413753232).

Almost surely, 238929916690238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38929916690238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45133240103424).

38929916690238 is an abundant number, since it is smaller than the sum of its proper divisors (51336563516610).

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

38929916690238 is a wasteful number, since it uses less digits than its factorization.

38929916690238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417977.

The product of its (nonzero) digits is 544195584, while the sum is 75.

The spelling of 38929916690238 in words is "thirty-eight trillion, nine hundred twenty-nine billion, nine hundred sixteen million, six hundred ninety thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2957 2982 5914 8871 17742 20699 41398 62097 124194 209947 419894 629841 1259682 1469629 2939258 4408887 4414937 8817774 8829874 13244811 26489622 30904559 61809118 92713677 185427354 313460527 626921054 940381581 1880763162 2194223689 4388447378 6582671067 13054968709 13165342134 26109937418 39164906127 78329812254 91384780963 182769561926 274154342889 548308685778 926902778339 1853805556678 2780708335017 5561416670034 6488319448373 12976638896746 19464958345119 38929916690238