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29230986240 = 2103351931359
BaseRepresentation
bin11011001110010011…
…010111010000000000
32210110011020221211000
4123032103113100000
5434331113024430
621232321252000
72053241166141
oct331623272000
983404227730
1029230986240
1111440147675
1257b9494000
1329aac71081
1415b4267ac8
15b61372e60
hex6ce4d7400

29230986240 has 704 divisors, whose sum is σ = 113190912000. Its totient is φ = 7126548480.

The previous prime is 29230986227. The next prime is 29230986251. The reversal of 29230986240 is 4268903292.

29230986240 is a `hidden beast` number, since 29 + 2 + 309 + 86 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81423181 + ... + 81423539.

Almost surely, 229230986240 is an apocalyptic number.

29230986240 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 29230986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56595456000).

29230986240 is an abundant number, since it is smaller than the sum of its proper divisors (83959925760).

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

29230986240 is a wasteful number, since it uses less digits than its factorization.

29230986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29230986240 in words is "twenty-nine billion, two hundred thirty million, nine hundred eighty-six thousand, two hundred forty".