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203489653120 = 27513130718713
BaseRepresentation
bin1011110110000011101…
…1011011000110000000
3201110020112200102122021
42331200323123012000
511313221322344440
6233252025251224
720462443340545
oct2754073330600
9643215612567
10203489653120
1179332671246
1233530333b14
131625c2a5090
149bc5748bcc
15545e9da84a
hex2f60edb180

203489653120 has 128 divisors (see below), whose sum is σ = 524316875040. Its totient is φ = 75073142784.

The previous prime is 203489653099. The next prime is 203489653153. The reversal of 203489653120 is 21356984302.

203489653120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864884 + ... + 10883596.

Almost surely, 2203489653120 is an apocalyptic number.

203489653120 is a gapful number since it is divisible by the number (20) 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 203489653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262158437520).

203489653120 is an abundant number, since it is smaller than the sum of its proper divisors (320827221920).

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

203489653120 is a wasteful number, since it uses less digits than its factorization.

203489653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20052 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 203489653120 in words is "two hundred three billion, four hundred eighty-nine million, six hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1307 1664 2080 2614 4160 5228 6535 8320 10456 13070 16991 18713 20912 26140 33982 37426 41824 52280 67964 74852 83648 84955 93565 104560 135928 149704 167296 169910 187130 209120 243269 271856 299408 339820 374260 418240 486538 543712 598816 679640 748520 836480 973076 1087424 1197632 1216345 1359280 1497040 1946152 2174848 2395264 2432690 2718560 2994080 3892304 4865380 5437120 5988160 7784608 9730760 10874240 11976320 15569216 19461520 24457891 31138432 38923040 48915782 77846080 97831564 122289455 155692160 195663128 244578910 317952583 391326256 489157820 635905166 782652512 978315640 1271810332 1565305024 1589762915 1956631280 2543620664 3130610048 3179525830 3913262560 5087241328 6359051660 7826525120 10174482656 12718103320 15653050240 20348965312 25436206640 40697930624 50872413280 101744826560 203489653120