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378234650520 = 233355310876079
BaseRepresentation
bin1011000000100001000…
…10101011111110011000
31100011021211020001112000
411200100202223332120
522144111032304040
6445431505121000
736220002324426
oct5402042537630
91304254201460
10378234650520
11136454666171
126137a029160
132988a2b631c
1414441664116
159c8abbb130
hex58108abf98

378234650520 has 256 divisors, whose sum is σ = 1285963776000. Its totient is φ = 98852203008.

The previous prime is 378234650491. The next prime is 378234650533. The reversal of 378234650520 is 25056432873.

378234650520 is a `hidden beast` number, since 3 + 7 + 82 + 3 + 46 + 5 + 0 + 520 = 666.

It is a super-2 number, since 2×3782346505202 (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62216841 + ... + 62222919.

It is an arithmetic number, because the mean of its divisors is an integer number (5023296000).

Almost surely, 2378234650520 is an apocalyptic number.

378234650520 is a gapful number since it is divisible by the number (30) 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 378234650520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642981888000).

378234650520 is an abundant number, since it is smaller than the sum of its proper divisors (907729125480).

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

378234650520 is a wasteful number, since it uses less digits than its factorization.

378234650520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 378234650520 in words is "three hundred seventy-eight billion, two hundred thirty-four million, six hundred fifty thousand, five hundred twenty".