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211919094040 = 2357736853787
BaseRepresentation
bin1100010101011101011…
…1001100000100011000
3202021000000011101201211
43011113113030010120
511433002242002130
6241204305352504
721211360402213
oct3052727140430
9667000141654
10211919094040
1181968892a45
12350a3338734
1316ca3797144
14a38507c77a
1557a4a62a2a
hex31575cc118

211919094040 has 32 divisors (see below), whose sum is σ = 477434872080. Its totient is φ = 84657964672.

The previous prime is 211919094029. The next prime is 211919094041. The reversal of 211919094040 is 40490919112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 211919093984 and 211919094002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211919094041) by changing a digit.

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, 3395974 + ... + 3457813.

Almost surely, 2211919094040 is an apocalyptic number.

211919094040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211919094040 is an abundant number, since it is smaller than the sum of its proper divisors (265515778040).

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

211919094040 is a wasteful number, since it uses less digits than its factorization.

211919094040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854571 (or 6854567 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 211919094040 in words is "two hundred eleven billion, nine hundred nineteen million, ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 773 1546 3092 3865 6184 7730 15460 30920 6853787 13707574 27415148 34268935 54830296 68537870 137075740 274151480 5297977351 10595954702 21191909404 26489886755 42383818808 52979773510 105959547020 211919094040