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39981904092 = 2232132913721503
BaseRepresentation
bin100101001111000110…
…110111000011011100
310211012102000011120200
4211033012313003130
51123340331412332
630211210543500
72613534402024
oct451706670334
9124172004520
1039981904092
1115a57819349
1278b9a37b90
133a023b7a20
141d1401aa84
15109011017c
hex94f1b70dc

39981904092 has 144 divisors (see below), whose sum is σ = 113419837440. Its totient is φ = 11790664704.

The previous prime is 39981904073. The next prime is 39981904129. The reversal of 39981904092 is 29040918993.

39981904092 is a `hidden beast` number, since 399 + 81 + 90 + 4 + 0 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848613 + ... + 1870115.

It is an arithmetic number, because the mean of its divisors is an integer number (787637760).

Almost surely, 239981904092 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 39981904092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56709918720).

39981904092 is an abundant number, since it is smaller than the sum of its proper divisors (73437933348).

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

39981904092 is a wasteful number, since it uses less digits than its factorization.

39981904092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21692 (or 21687 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 39981904092 in words is "thirty-nine billion, nine hundred eighty-one million, nine hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 137 156 174 234 261 274 348 377 411 468 522 548 754 822 1044 1131 1233 1508 1644 1781 2262 2466 3393 3562 3973 4524 4932 5343 6786 7124 7946 10686 11919 13572 15892 16029 21372 21503 23838 32058 35757 43006 47676 51649 64116 64509 71514 86012 103298 129018 143028 154947 193527 206596 258036 279539 309894 387054 464841 559078 619788 623587 774108 838617 929682 1118156 1247174 1677234 1859364 1870761 2494348 2515851 2945911 3354468 3741522 5031702 5612283 5891822 7483044 8106631 8837733 10063404 11224566 11783644 16213262 17675466 22449132 24319893 26513199 32426524 35350932 38296843 48639786 53026398 72959679 76593686 85431419 97279572 106052796 114890529 145919358 153187372 170862838 229781058 256294257 291838716 341725676 344671587 459562116 512588514 689343174 768882771 1025177028 1110608447 1378686348 1537765542 2221216894 3075531084 3331825341 4442433788 6663650682 9995476023 13327301364 19990952046 39981904092