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67202264144 = 2453373212461
BaseRepresentation
bin111110100101100100…
…010010110001010000
320102110102220201210002
4332211210102301100
52100112234423034
650512225425132
74566222551231
oct764544226120
9212412821702
1067202264144
1126555a20784
1211035a9b1a8
13644c930b52
143377221088
151b34bc1e7e
hexfa5912c50

67202264144 has 40 divisors (see below), whose sum is σ = 133017359112. Its totient is φ = 32878609920.

The previous prime is 67202264123. The next prime is 67202264147. The reversal of 67202264144 is 44146220276.

It can be written as a sum of positive squares in 4 ways, for example, as 3490446400 + 63711817744 = 59080^2 + 252412^2 .

It is a super-2 number, since 2×672022641442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67202264098 and 67202264107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67202264147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210074 + ... + 422534.

Almost surely, 267202264144 is an apocalyptic number.

It is an amenable number.

67202264144 is a deficient number, since it is larger than the sum of its proper divisors (65815094968).

67202264144 is a wasteful number, since it uses less digits than its factorization.

67202264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212895 (or 212889 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 67202264144 in words is "sixty-seven billion, two hundred two million, two hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 53 106 212 373 424 746 848 1492 2984 5968 19769 39538 79076 158152 212461 316304 424922 849844 1699688 3399376 11260433 22520866 45041732 79247953 90083464 158495906 180166928 316991812 633983624 1267967248 4200141509 8400283018 16800566036 33601132072 67202264144