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42625252624 = 242664078289
BaseRepresentation
bin100111101100101010…
…011011110100010000
311002000121221012002011
4213230222123310100
51144244031040444
631325355032304
73036202445353
oct475452336420
9132017835064
1042625252624
1117093931209
12831713b694
134033c27696
1420c510429a
151197204734
hex9eca9bd10

42625252624 has 10 divisors (see below), whose sum is σ = 82586426990. Its totient is φ = 21312626304.

The previous prime is 42625252603. The next prime is 42625252633.

42625252624 is nontrivially palindromic in base 10.

42625252624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34102270224 + 8522982400 = 184668^2 + 92320^2 .

It is a super-2 number, since 2×426252526242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1332039129 + ... + 1332039160.

It is an arithmetic number, because the mean of its divisors is an integer number (8258642699).

Almost surely, 242625252624 is an apocalyptic number.

It is an amenable number.

42625252624 is a deficient number, since it is larger than the sum of its proper divisors (39961174366).

42625252624 is a wasteful number, since it uses less digits than its factorization.

42625252624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664078297 (or 2664078291 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 42625252624 in words is "forty-two billion, six hundred twenty-five million, two hundred fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 2664078289 5328156578 10656313156 21312626312 42625252624