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29323019040 = 25357231131307
BaseRepresentation
bin11011010011110010…
…011100001100100000
32210200120102201002020
4123103302130030200
5440023143102130
621245410021440
72055436356300
oct332362341440
983616381066
1029323019040
1111488097237
125824277880
1329c4055353
1415c2583600
15b694a1e10
hex6d3c9c320

29323019040 has 576 divisors, whose sum is σ = 112124694528. Its totient is φ = 6415718400.

The previous prime is 29323019039. The next prime is 29323019051. The reversal of 29323019040 is 4091032392.

It is a junction number, because it is equal to n+sod(n) for n = 29323018992 and 29323019010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95514567 + ... + 95514873.

It is an arithmetic number, because the mean of its divisors is an integer number (194660928).

Almost surely, 229323019040 is an apocalyptic number.

29323019040 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 29323019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56062347264).

29323019040 is an abundant number, since it is smaller than the sum of its proper divisors (82801675488).

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

29323019040 is a wasteful number, since it uses less digits than its factorization.

29323019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 29323019040 in words is "twenty-nine billion, three hundred twenty-three million, nineteen thousand, forty".