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13850820992 = 271779197409
BaseRepresentation
bin11001110011001001…
…01100000110000000
31022202021202121110002
430321210230012000
5211331302232432
610210223055132
71000144015211
oct147144540600
938667677402
1013850820992
1159684778a8
1228267414a8
1313c9739888
14955763408
15560eb6e62
hex33992c180

13850820992 has 128 divisors (see below), whose sum is σ = 29809296000. Its totient is φ = 6387204096.

The previous prime is 13850820959. The next prime is 13850821021. The reversal of 13850820992 is 29902805831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33864884 + ... + 33865292.

It is an arithmetic number, because the mean of its divisors is an integer number (232885125).

Almost surely, 213850820992 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 13850820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904648000).

13850820992 is an abundant number, since it is smaller than the sum of its proper divisors (15958475008).

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

13850820992 is a wasteful number, since it uses less digits than its factorization.

13850820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 13850820992 in words is "thirteen billion, eight hundred fifty million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 197 272 316 394 409 544 632 788 818 1088 1264 1343 1576 1636 2176 2528 2686 3152 3272 3349 5056 5372 6304 6544 6698 6953 10112 10744 12608 13088 13396 13906 15563 21488 25216 26176 26792 27812 31126 32311 42976 52352 53584 55624 62252 64622 80573 85952 107168 111248 124504 129244 161146 171904 214336 222496 249008 258488 264571 322292 428672 444992 498016 516976 529142 549287 644584 889984 996032 1033952 1058284 1098574 1289168 1369741 1992064 2067904 2116568 2197148 2578336 2739482 4135808 4233136 4394296 5156672 5478964 6365267 8466272 8788592 10313344 10957928 12730534 16932544 17577184 21915856 25461068 33865088 35154368 43831712 50922136 70308736 87663424 101844272 108209539 175326848 203688544 216419078 407377088 432838156 814754176 865676312 1731352624 3462705248 6925410496 13850820992