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1190137211104 = 25297577169259
BaseRepresentation
bin10001010100011001101…
…101001010100011100000
311012202221201010112002211
4101110121231022203200
5123444400111223404
62310424054451504
7151661465244322
oct21243155124340
94182851115084
101190137211104
11419809479896
121727a6663b94
13882ca16c34a
14418626c1612
1520e58dd2b04
hex11519b4a8e0

1190137211104 has 48 divisors (see below), whose sum is σ = 2424212809200. Its totient is φ = 574469776384.

The previous prime is 1190137211093. The next prime is 1190137211111. The reversal of 1190137211104 is 4011127310911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6946827 + ... + 7116085.

It is an arithmetic number, because the mean of its divisors is an integer number (50504433525).

Almost surely, 21190137211104 is an apocalyptic number.

It is an amenable number.

1190137211104 is an abundant number, since it is smaller than the sum of its proper divisors (1234075598096).

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

1190137211104 is a wasteful number, since it uses less digits than its factorization.

1190137211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176875 (or 176867 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 1190137211104 in words is "one trillion, one hundred ninety billion, one hundred thirty-seven million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 7577 15154 30308 60616 121232 169259 219733 242464 338518 439466 677036 878932 1354072 1757864 2708144 3515728 4908511 5416288 7031456 9817022 19634044 39268088 78536176 157072352 1282475443 2564950886 5129901772 10259803544 20519607088 37191787847 41039214176 74383575694 148767151388 297534302776 595068605552 1190137211104