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138767455037881 = 31163277122980669
BaseRepresentation
bin11111100011010101010000…
…110111010010100110111001
3200012100001001112110001112101
4133203111100313102212321
5121142031221442203011
61211044515550543401
741141421620002405
oct3743252067224671
9605301045401471
10138767455037881
1140240a4678844a
121369208bb07b61
135c5793a71b177
14263a548762105
1511099d75692c1
hex7e3550dd29b9

138767455037881 has 32 divisors (see below), whose sum is σ = 144762405350400. Its totient is φ = 132875529373440.

The previous prime is 138767455037863. The next prime is 138767455037947. The reversal of 138767455037881 is 188730554767831.

It is a cyclic number.

It is not a de Polignac number, because 138767455037881 - 213 = 138767455029689 is a prime.

It is a super-2 number, since 2×1387674550378812 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138767455037681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720167615 + ... + 1720248283.

It is an arithmetic number, because the mean of its divisors is an integer number (4523825167200).

Almost surely, 2138767455037881 is an apocalyptic number.

It is an amenable number.

138767455037881 is a deficient number, since it is larger than the sum of its proper divisors (5994950312519).

138767455037881 is a wasteful number, since it uses less digits than its factorization.

138767455037881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82369.

The product of its (nonzero) digits is 948326400, while the sum is 73.

The spelling of 138767455037881 in words is "one hundred thirty-eight trillion, seven hundred sixty-seven billion, four hundred fifty-five million, thirty-seven thousand, eight hundred eighty-one".

Divisors: 1 31 163 277 1229 5053 8587 38099 45151 80669 200327 340433 1399681 2500739 6210137 10553423 13149047 22345313 55490579 99142201 407620457 692704703 1720207949 3073408231 3642286019 16160178763 27462389677 112910866589 500965541653 851334079987 4476369517351 138767455037881