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205000453240520 = 235710722033105979
BaseRepresentation
bin101110100111001001100011…
…001100011011011011001000
3222212211212000001121012002112
4232213021203030123123020
5203332211412012144040
62003555524052321452
761115536223463620
oct5647114314333310
9885755001535075
10205000453240520
115a35722755a153
121abaa565013288
138a505c9215ab2
14388a10966d880
1518a77eb48e365
hexba726331b6c8

205000453240520 has 128 divisors (see below), whose sum is σ = 532312294579200. Its totient is φ = 69597363545856.

The previous prime is 205000453240481. The next prime is 205000453240529. The reversal of 205000453240520 is 25042354000502.

205000453240520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205000453240529) 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, 64448891 + ... + 67554869.

It is an arithmetic number, because the mean of its divisors is an integer number (4158689801400).

Almost surely, 2205000453240520 is an apocalyptic number.

205000453240520 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 205000453240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266156147289600).

205000453240520 is an abundant number, since it is smaller than the sum of its proper divisors (327311841338680).

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

205000453240520 is a wasteful number, since it uses less digits than its factorization.

205000453240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108307 (or 3108303 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 205000453240520 in words is "two hundred five trillion, four hundred fifty-three million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2203 2996 3745 4280 4406 5992 7490 8812 11015 14980 15421 17624 22030 29960 30842 44060 61684 77105 88120 123368 154210 235721 308420 471442 616840 942884 1178605 1650047 1885768 2357210 3105979 3300094 4714420 6211958 6600188 8250235 9428840 12423916 13200376 15529895 16500470 21741853 24847832 31059790 33000940 43483706 62119580 66001880 86967412 108709265 124239160 173934824 217418530 332339753 434837060 664679506 869674120 1329359012 1661698765 2326378271 2658718024 3323397530 4652756542 6646795060 6842471737 9305513084 11631891355 13293590120 13684943474 18611026168 23263782710 27369886948 34212358685 46527565420 47897302159 54739773896 68424717370 93055130840 95794604318 136849434740 191589208636 239486510795 273698869480 383178417272 478973021590 732144475859 957946043180 1464288951718 1915892086360 2928577903436 3660722379295 5125011331013 5857155806872 7321444758590 10250022662026 14642889517180 20500045324052 25625056655065 29285779034360 41000090648104 51250113310130 102500226620260 205000453240520