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80694662400 = 283552115389
BaseRepresentation
bin100101100100111000…
…1101101010100000000
321201021202020120200000
41023021301231110000
52310230313144100
6101023130400000
75554455212262
oct1131161552400
9251252216600
1080694662400
113124a040240
1213780590000
1377c0025861
143c97123b32
152174489900
hex12c9c6d500

80694662400 has 1296 divisors, whose sum is σ = 336280351680. Its totient is φ = 18977587200.

The previous prime is 80694662393. The next prime is 80694662423. The reversal of 80694662400 is 426649608.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 906681556 + ... + 906681644.

It is an arithmetic number, because the mean of its divisors is an integer number (259475580).

Almost surely, 280694662400 is an apocalyptic number.

80694662400 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 80694662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168140175840).

80694662400 is an abundant number, since it is smaller than the sum of its proper divisors (255585689280).

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

80694662400 is a wasteful number, since it uses less digits than its factorization.

80694662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80694662400 in words is "eighty billion, six hundred ninety-four million, six hundred sixty-two thousand, four hundred".