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20872178976 = 25311314115551
BaseRepresentation
bin10011011100000101…
…000010110100100000
31222212121200112212210
4103130011002310200
5320221234211401
613331043122120
71336142410515
oct233405026440
958777615783
1020872178976
118940889aa0
124066073340
131c782b007c
14102007d30c
158225ee4d6
hex4dc142d20

20872178976 has 192 divisors, whose sum is σ = 63207309312. Its totient is φ = 5971200000.

The previous prime is 20872178969. The next prime is 20872178983. The reversal of 20872178976 is 67987127802.

It is an interprime number because it is at equal distance from previous prime (20872178969) and next prime (20872178983).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334401 + ... + 1349951.

It is an arithmetic number, because the mean of its divisors is an integer number (329204736).

Almost surely, 220872178976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20872178976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31603654656).

20872178976 is an abundant number, since it is smaller than the sum of its proper divisors (42335130336).

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

20872178976 is a wasteful number, since it uses less digits than its factorization.

20872178976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15647 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 20872178976 in words is "twenty billion, eight hundred seventy-two million, one hundred seventy-eight thousand, nine hundred seventy-six".