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80421926400 = 2932524117027
BaseRepresentation
bin100101011100110000…
…1010011011000000000
321200120202001011012200
41022321201103120000
52304201003121100
6100540104553200
75544634044504
oct1127141233000
9250522034180
1080421926400
113111a098692
1213705182800
1377786825ca
143c6cc0a304
15215a563e00
hex12b9853600

80421926400 has 360 divisors, whose sum is σ = 294844894344. Its totient is φ = 20921548800.

The previous prime is 80421926393. The next prime is 80421926407. The reversal of 80421926400 is 462912408.

80421926400 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 1 + 9 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80421926393) and next prime (80421926407).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80421926407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4714687 + ... + 4731713.

Almost surely, 280421926400 is an apocalyptic number.

80421926400 is a gapful number since it is divisible by the number (80) 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 80421926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147422447172).

80421926400 is an abundant number, since it is smaller than the sum of its proper divisors (214422967944).

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

80421926400 is a wasteful number, since it uses less digits than its factorization.

80421926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17102 (or 17078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80421926400 in words is "eighty billion, four hundred twenty-one million, nine hundred twenty-six thousand, four hundred".