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38404235677016 = 23112251881917923
BaseRepresentation
bin10001011101101101011101…
…10100110100110101011000
312000222102001012211012212202
420232312232310310311120
520013203333313131031
6213402355020425332
711042420522102156
oct1056665664646530
9160872035735782
1038404235677016
1111267165930500
124382bb89a8248
13185767205c3b1
1496aabc5703d6
15468eb04132cb
hex22edaed34d58

38404235677016 has 96 divisors (see below), whose sum is σ = 79478005723200. Its totient is φ = 17383981560000.

The previous prime is 38404235676979. The next prime is 38404235677061. The reversal of 38404235677016 is 61077653240483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142725831 + ... + 2142743753.

It is an arithmetic number, because the mean of its divisors is an integer number (827895892950).

Almost surely, 238404235677016 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 38404235677016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739002861600).

38404235677016 is an abundant number, since it is smaller than the sum of its proper divisors (41073770046184).

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

38404235677016 is a wasteful number, since it uses less digits than its factorization.

38404235677016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27021 (or 27006 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 38404235677016 in words is "thirty-eight trillion, four hundred four billion, two hundred thirty-five million, six hundred seventy-seven thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 251 484 502 968 1004 2008 2761 5522 8819 11044 17638 17923 22088 30371 35276 35846 60742 70552 71692 97009 121484 143384 194018 197153 242968 388036 394306 776072 788612 1067099 1577224 2134198 2168683 2213569 4268396 4337366 4427138 4498673 8536792 8674732 8854276 8997346 17349464 17708552 17994692 24349259 35989384 48698518 49485403 97397036 98970806 158062937 194794072 197941612 267841849 316125874 395883224 535683698 544339433 632251748 1071367396 1088678866 1264503496 1738692307 2142734792 2177357732 3477384614 4354715464 6954769228 13909538456 19125615377 38251230754 39673797187 76502461508 79347594374 153004923016 158695188748 317390377496 436411769057 872823538114 1745647076228 3491294152456 4800529459627 9601058919254 19202117838508 38404235677016