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67138372413 = 3273892739559
BaseRepresentation
bin111110100001110000…
…100100001100111101
320102021222200200210200
4332201300210030331
52044444410404123
650502024154113
74564515515040
oct764160441475
9212258620720
1067138372413
11265229519a2
1211018608939
13643c6206a8
14336c94cc57
151b2e2a1143
hexfa1c2433d

67138372413 has 24 divisors (see below), whose sum is σ = 111116553600. Its totient is φ = 38266146144.

The previous prime is 67138372403. The next prime is 67138372417. The reversal of 67138372413 is 31427383176.

67138372413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67138372413 - 212 = 67138368317 is a prime.

It is a super-2 number, since 2×671383724132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67138372417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345273 + ... + 1394286.

It is an arithmetic number, because the mean of its divisors is an integer number (4629856400).

Almost surely, 267138372413 is an apocalyptic number.

67138372413 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67138372413 is a deficient number, since it is larger than the sum of its proper divisors (43978181187).

67138372413 is a wasteful number, since it uses less digits than its factorization.

67138372413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739961 (or 2739958 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 67138372413 in words is "sixty-seven billion, one hundred thirty-eight million, three hundred seventy-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 63 389 1167 2723 3501 8169 24507 2739559 8218677 19176913 24656031 57530739 172592217 1065688451 3197065353 7459819157 9591196059 22379457471 67138372413