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208990137744 = 24332322979157
BaseRepresentation
bin1100001010100011001…
…0000110110110010000
3201222102212211000001000
43002220302012312100
511411002433401434
6240001515542000
721045653601063
oct3025062066620
9658385730030
10208990137744
11806a5536803
123460645a900
1316927a284cb
14a18808a8da
155682853b99
hex30a8c86d90

208990137744 has 160 divisors (see below), whose sum is σ = 626301699840. Its totient is φ = 66598253568.

The previous prime is 208990137743. The next prime is 208990137793. The reversal of 208990137744 is 447731099802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (208990137743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22818414 + ... + 22827570.

It is an arithmetic number, because the mean of its divisors is an integer number (3914385624).

Almost surely, 2208990137744 is an apocalyptic number.

208990137744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208990137744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313150849920).

208990137744 is an abundant number, since it is smaller than the sum of its proper divisors (417311562096).

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

208990137744 is a wasteful number, since it uses less digits than its factorization.

208990137744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 208990137744 in words is "two hundred eight billion, nine hundred ninety million, one hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2297 2484 3312 4594 4968 6891 9157 9188 9936 13782 18314 18376 20673 27471 27564 36628 36752 41346 52831 54942 55128 62019 73256 82413 82692 105662 109884 110256 124038 146512 158493 164826 165384 210611 211324 219768 247239 248076 316986 329652 330768 421222 422648 439536 475479 494478 496152 631833 633972 659304 842444 845296 950958 988956 992304 1263666 1267944 1318608 1426437 1684888 1895499 1901916 1977912 2527332 2535888 2852874 3369776 3790998 3803832 3955824 5054664 5686497 5705748 7581996 7607664 10109328 11372994 11411496 15163992 21033629 22745988 22822992 30327984 42067258 45491976 63100887 84134516 90983952 126201774 168269032 189302661 252403548 336538064 378605322 483773467 504807096 567907983 757210644 967546934 1009614192 1135815966 1451320401 1514421288 1935093868 2271631932 2902640802 3028842576 3870187736 4353961203 4543263864 5805281604 7740375472 8707922406 9086527728 11610563208 13061883609 17415844812 23221126416 26123767218 34831689624 52247534436 69663379248 104495068872 208990137744