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42093487152 = 2432307952169
BaseRepresentation
bin100111001100111101…
…111010010000110000
311000122120022200222200
4213030331322100300
51142201413042102
631200521303200
73020054510613
oct471475722060
9130576280880
1042093487152
1116940748a12
1281a9034b00
133c7a9ccb62
14207464017a
1511656b451c
hex9ccf7a430

42093487152 has 60 divisors (see below), whose sum is σ = 118187149080. Its totient is φ = 13985443584.

The previous prime is 42093487043. The next prime is 42093487157. The reversal of 42093487152 is 25178439024.

42093487152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420934871522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42093487098 and 42093487107.

It is not an unprimeable number, because it can be changed into a prime (42093487157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431877 + ... + 520292.

It is an arithmetic number, because the mean of its divisors is an integer number (1969785818).

Almost surely, 242093487152 is an apocalyptic number.

It is an amenable number.

42093487152 is an abundant number, since it is smaller than the sum of its proper divisors (76093661928).

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

42093487152 is a wasteful number, since it uses less digits than its factorization.

42093487152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952490 (or 952481 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42093487152 in words is "forty-two billion, ninety-three million, four hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 952169 1904338 2856507 3808676 5713014 7617352 8569521 11426028 15234704 17139042 22852056 34278084 45704112 68556168 137112336 292315883 584631766 876947649 1169263532 1753895298 2338527064 2630842947 3507790596 4677054128 5261685894 7015581192 10523371788 14031162384 21046743576 42093487152