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42933741552 = 2435132192181
BaseRepresentation
bin100111111111000011…
…001110011111110000
311002211010102001100000
4213333003032133300
51200412014212202
631420135030000
73046636532112
oct477703163760
9132733361300
1042933741552
1117231a83539
1283a250b300
134082b08300
1421140873b2
1511b433d91c
hex9ff0ce7f0

42933741552 has 540 divisors, whose sum is σ = 143189288424. Its totient is φ = 12445954560.

The previous prime is 42933741523. The next prime is 42933741581. The reversal of 42933741552 is 25514733924.

It is a happy number.

42933741552 is a `hidden beast` number, since 4 + 2 + 93 + 3 + 7 + 4 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (42933741523) and next prime (42933741581).

It is a junction number, because it is equal to n+sod(n) for n = 42933741498 and 42933741507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 237202902 + ... + 237203082.

Almost surely, 242933741552 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 42933741552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71594644212).

42933741552 is an abundant number, since it is smaller than the sum of its proper divisors (100255546872).

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

42933741552 is a wasteful number, since it uses less digits than its factorization.

42933741552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 218 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 42933741552 in words is "forty-two billion, nine hundred thirty-three million, seven hundred forty-one thousand, five hundred fifty-two".