Search a number
-
+
1900557808128 = 2932758921063
BaseRepresentation
bin11011101010000010000…
…100101011001000000000
320201200200010211002121200
4123222002010223020000
5222114320244330003
64013034301421200
7254211410551230
oct33520204531000
96650603732550
101900557808128
11673027376241
12268410b6a800
1310a2b649a115
1467db7951cc0
1534687c296a3
hex1ba8212b200

1900557808128 has 120 divisors (see below), whose sum is σ = 6268729841088. Its totient is φ = 543016507392.

The previous prime is 1900557808109. The next prime is 1900557808129. The reversal of 1900557808128 is 8218087550091.

1900557808128 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 557 + 8 + 0 + 81 + 2 + 8 = 666.

It is a super-2 number, since 2×19005578081282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1900557808129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29428276 + ... + 29492787.

Almost surely, 21900557808128 is an apocalyptic number.

1900557808128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1900557808128 is an abundant number, since it is smaller than the sum of its proper divisors (4368172032960).

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

1900557808128 is an equidigital number, since it uses as much as digits as its factorization.

1900557808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58921094 (or 58921075 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 1900557808128 in words is "one trillion, nine hundred billion, five hundred fifty-seven million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 58921063 117842126 176763189 235684252 353526378 412447441 471368504 530289567 707052756 824894882 942737008 1060579134 1237342323 1414105512 1649789764 1885474016 2121158268 2474684646 2828211024 3299579528 3712026969 3770948032 4242316536 4949369292 5656422048 6599159056 7424053938 7541896064 8484633072 9898738584 11312844096 13198318112 14848107876 15083792128 16969266144 19797477168 22625688192 26396636224 29696215752 30167584256 33938532288 39594954336 45251376384 52793272448 59392431504 67877064576 79189908672 90502752768 105586544896 118784863008 135754129152 158379817344 211173089792 237569726016 271508258304 316759634688 475139452032 633519269376 950278904064 1900557808128