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29927368380 = 223572132293167
BaseRepresentation
bin11011110111110011…
…110110011010111100
32212020200121211112010
4123313303312122330
5442242401242010
621425355211220
72106425301600
oct336763663274
985220554463
1029927368380
11117682458a8
125972746b10
132a8c314800
14163c93d500
15ba257d620
hex6f7cf66bc

29927368380 has 864 divisors, whose sum is σ = 114397194240. Its totient is φ = 5811886080.

The previous prime is 29927368379. The next prime is 29927368391. The reversal of 29927368380 is 8386372992.

It is a self number, because there is not a number n which added to its sum of digits gives 29927368380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 446677107 + ... + 446677173.

It is an arithmetic number, because the mean of its divisors is an integer number (132404160).

Almost surely, 229927368380 is an apocalyptic number.

29927368380 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 29927368380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57198597120).

29927368380 is an abundant number, since it is smaller than the sum of its proper divisors (84469825860).

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

29927368380 is a wasteful number, since it uses less digits than its factorization.

29927368380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

It can be divided in two parts, 299273 and 68380, that added together give a triangular number (367653 = T857).

The spelling of 29927368380 in words is "twenty-nine billion, nine hundred twenty-seven million, three hundred sixty-eight thousand, three hundred eighty".