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78324408144234 = 23372297297139883
BaseRepresentation
bin10001110011110001010010…
…100001100101000101101010
3101021022201222200011101202000
4101303301102201211011222
540231231341441103414
6434325423015551430
722332515564260200
oct2163612241450552
9337281880141660
1078324408144234
1122a5821653668a
12894b96598b576
133491c63159355
14154acc8b67070
1590c5e6d7cb09
hex473c5286516a

78324408144234 has 192 divisors, whose sum is σ = 209483228246400. Its totient is φ = 21603617796096.

The previous prime is 78324408144223. The next prime is 78324408144239. The reversal of 78324408144234 is 43244180442387.

78324408144234 is a `hidden beast` number, since 7 + 8 + 32 + 440 + 8 + 144 + 23 + 4 = 666.

It is a super-2 number, since 2×783244081442342 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78324408144239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559858057 + ... + 559997939.

It is an arithmetic number, because the mean of its divisors is an integer number (1091058480450).

Almost surely, 278324408144234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78324408144234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104741614123200).

78324408144234 is an abundant number, since it is smaller than the sum of its proper divisors (131158820102166).

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

78324408144234 is a wasteful number, since it uses less digits than its factorization.

78324408144234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147234 (or 147221 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 78324408144234 in words is "seventy-eight trillion, three hundred twenty-four billion, four hundred eight million, one hundred forty-four thousand, two hundred thirty-four".