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29570704020 = 22365111321091
BaseRepresentation
bin11011100010100011…
…010010001010010100
32211022211111102000000
4123202203102022110
5441030100012040
621330134451300
72064534560034
oct334243221224
984284442000
1029570704020
11115a4989670
125893203b30
132a33467100
1416074198c4
15b810ca130
hex6e28d2294

29570704020 has 504 divisors, whose sum is σ = 110084056992. Its totient is φ = 6611155200.

The previous prime is 29570703973. The next prime is 29570704061. The reversal of 29570704020 is 2040707592.

29570704020 is a `hidden beast` number, since 29 + 570 + 7 + 0 + 40 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27103675 + ... + 27104765.

It is an arithmetic number, because the mean of its divisors is an integer number (218420748).

Almost surely, 229570704020 is an apocalyptic number.

29570704020 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 29570704020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55042028496).

29570704020 is an abundant number, since it is smaller than the sum of its proper divisors (80513352972).

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

29570704020 is a wasteful number, since it uses less digits than its factorization.

29570704020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 29570704020 in words is "twenty-nine billion, five hundred seventy million, seven hundred four thousand, twenty".