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10038151543641 = 3131051244898669
BaseRepresentation
bin1001001000010011000001…
…1101001111101101011001
31022112122020001002110220020
42102010300131033231121
52303431113243344031
633203244013021053
72054142516202434
oct222046035175531
938478201073806
1010038151543641
113220179941481
121161564784789
1357a794283110
14269bc600c81b
151261ae4ee096
hex9213074fb59

10038151543641 has 16 divisors (see below), whose sum is σ = 14427470447040. Its totient is φ = 6171446433600.

The previous prime is 10038151543601. The next prime is 10038151543727. The reversal of 10038151543641 is 14634515183001.

It is not a de Polignac number, because 10038151543641 - 26 = 10038151543577 is a prime.

It is a super-2 number, since 2×100381515436412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10038151543593 and 10038151543602.

It is not an unprimeable number, because it can be changed into a prime (10038151543601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122408346 + ... + 122490323.

It is an arithmetic number, because the mean of its divisors is an integer number (901716902940).

Almost surely, 210038151543641 is an apocalyptic number.

It is an amenable number.

10038151543641 is a deficient number, since it is larger than the sum of its proper divisors (4389318903399).

10038151543641 is a wasteful number, since it uses less digits than its factorization.

10038151543641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244899736.

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10038151543641 in words is "ten trillion, thirty-eight billion, one hundred fifty-one million, five hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 13 39 1051 3153 13663 40989 244898669 734696007 3183682697 9551048091 257388501119 772165503357 3346050514547 10038151543641