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20157390186480 = 2432591969304411
BaseRepresentation
bin1001001010101010000100…
…00101001110011111110000
32122101000202011212101112200
410211111002011032133300
510120224313341431410
6110512102140023200
74150215630362211
oct445250205163760
978330664771480
1020157390186480
116471779292718
122316779231b00
13b32aab9529b1
144d98a12d7408
1524e5176553c0
hex12554214e7f0

20157390186480 has 120 divisors (see below), whose sum is σ = 67696193825520. Its totient is φ = 5375227944960.

The previous prime is 20157390186469. The next prime is 20157390186533. The reversal of 20157390186480 is 8468109375102.

20157390186480 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 73 + 90 + 1 + 8 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66065475 + ... + 66369885.

It is an arithmetic number, because the mean of its divisors is an integer number (564134948546).

It is a 1-persistent number, because it is pandigital, but 2⋅20157390186480 = 40314780372960 is not.

Almost surely, 220157390186480 is an apocalyptic number.

20157390186480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20157390186480 is an abundant number, since it is smaller than the sum of its proper divisors (47538803639040).

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

20157390186480 is a wasteful number, since it uses less digits than its factorization.

20157390186480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396399 (or 396390 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20157390186480 in words is "twenty trillion, one hundred fifty-seven billion, three hundred ninety million, one hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 91969 183938 275907 304411 367876 459845 551814 608822 735752 827721 913233 919690 1103628 1217644 1379535 1471504 1522055 1655442 1826466 1839380 2207256 2435288 2739699 2759070 3044110 3310884 3652932 3678760 4138605 4414512 4566165 4870576 5479398 5518140 6088220 6621768 7305864 7357520 8277210 9132330 10958796 11036280 12176440 13243536 13698495 14611728 16554420 18264660 21917592 22072560 24352880 27396990 33108840 36529320 43835184 54793980 66217680 73058640 109587960 219175920 27996375259 55992750518 83989125777 111985501036 139981876295 167978251554 223971002072 251967377331 279963752590 335956503108 419945628885 447942004144 503934754662 559927505180 671913006216 839891257770 1007869509324 1119855010360 1259836886655 1343826012432 1679782515540 2015739018648 2239710020720 2519673773310 3359565031080 4031478037296 5039347546620 6719130062160 10078695093240 20157390186480