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138073863132737 = 7312843392956963
BaseRepresentation
bin11111011001001111010011…
…100100001001011001000001
3200002212201202220220121100222
4133121033103210021121001
5121044200232430221422
61205354131305152425
741040336021042230
oct3731172344113101
9602781686817328
10138073863132737
113aaa3884184314
121359b78148b715
135c07403a63c3c
142614b4c53ab17
1510e6940d5b842
hex7d93d3909641

138073863132737 has 32 divisors (see below), whose sum is σ = 162990610145280. Its totient is φ = 114459880268160.

The previous prime is 138073863132671. The next prime is 138073863132743. The reversal of 138073863132737 is 737231368370831.

It is a happy number.

It is not a de Polignac number, because 138073863132737 - 28 = 138073863132481 is a prime.

It is a super-2 number, since 2×1380738631327372 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138073863132737.

It is not an unprimeable number, because it can be changed into a prime (138073863132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2423893418 + ... + 2423950380.

It is an arithmetic number, because the mean of its divisors is an integer number (5093456567040).

Almost surely, 2138073863132737 is an apocalyptic number.

It is an amenable number.

138073863132737 is a deficient number, since it is larger than the sum of its proper divisors (24916747012543).

138073863132737 is a wasteful number, since it uses less digits than its factorization.

138073863132737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63773.

The product of its (nonzero) digits is 64012032, while the sum is 62.

The spelling of 138073863132737 in words is "one hundred thirty-eight trillion, seventy-three billion, eight hundred sixty-three million, one hundred thirty-two thousand, seven hundred thirty-seven".

Divisors: 1 7 31 217 2843 3929 19901 27503 56963 88133 121799 398741 616931 852593 1765853 11170147 12360971 78191029 161945809 223807627 346274557 1133620663 1566653389 2423921899 5020320079 6938036437 35142240553 48566255059 636285083561 4453995584927 19724837590391 138073863132737