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80393153400 = 233352721915991
BaseRepresentation
bin100101011011111001…
…1100010101101111000
321200111201220100002000
41022313303202231320
52304121121402100
6100533200141000
75544134346300
oct1126763425570
9250451810060
1080393153400
113110492604a
12136b7607760
137772719c71
143c6907a600
152157c7d900
hex12b7ce2b78

80393153400 has 576 divisors, whose sum is σ = 339094368000. Its totient is φ = 17407353600.

The previous prime is 80393153377. The next prime is 80393153411. The reversal of 80393153400 is 435139308.

80393153400 is a `hidden beast` number, since 80 + 393 + 153 + 40 + 0 = 666.

It is a super-2 number, since 2×803931534002 (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5019405 + ... + 5035395.

It is an arithmetic number, because the mean of its divisors is an integer number (588705500).

Almost surely, 280393153400 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 80393153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169547184000).

80393153400 is an abundant number, since it is smaller than the sum of its proper divisors (258701214600).

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

80393153400 is a wasteful number, since it uses less digits than its factorization.

80393153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 80393153400 in words is "eighty billion, three hundred ninety-three million, one hundred fifty-three thousand, four hundred".