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552345350040 = 2332511684120389
BaseRepresentation
bin10000000100110100101…
…10010010111110011000
31221210200220020000021200
420002122112102332120
533022200402200130
61101424405434200
754622430003331
oct10023226227630
91853626200250
10552345350040
111a3280606770
128b06b40b960
1340116a80693
141ca3b229288
15e57b356760
hex809a592f98

552345350040 has 192 divisors, whose sum is σ = 1958697655200. Its totient is φ = 133875763200.

The previous prime is 552345350033. The next prime is 552345350041. The reversal of 552345350040 is 40053543255.

552345350040 is a `hidden beast` number, since 5 + 52 + 34 + 535 + 0 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 552345349977 and 552345350004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552345350041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27080166 + ... + 27100554.

Almost surely, 2552345350040 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 552345350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979348827600).

552345350040 is an abundant number, since it is smaller than the sum of its proper divisors (1406352305160).

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

552345350040 is a wasteful number, since it uses less digits than its factorization.

552345350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27258 (or 27251 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

Adding to 552345350040 its reverse (40053543255), we get a palindrome (592398893295).

The spelling of 552345350040 in words is "five hundred fifty-two billion, three hundred forty-five million, three hundred fifty thousand, forty".