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133728048576929 = 8910924157199069
BaseRepresentation
bin11110011001111111111100…
…110101001111100110100001
3122112111021110122010022010102
4132121333330311033212201
5120012000020413430204
61152225452321112145
740111350464566052
oct3631777465174641
9575437418108112
10133728048576929
1139678824158594
1212bb9484a88655
13598066854a4b1
142504687592729
15106d89050441e
hex799ffcd4f9a1

133728048576929 has 16 divisors (see below), whose sum is σ = 137037531906000. Its totient is φ = 130468786145280.

The previous prime is 133728048576923. The next prime is 133728048576937. The reversal of 133728048576929 is 929675840827331.

It can be written as a sum of positive squares in 8 ways, for example, as 26230550966929 + 107497497610000 = 5121577^2 + 10368100^2 .

It is a cyclic number.

It is not a de Polignac number, because 133728048576929 - 28 = 133728048576673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133728048576923) 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, 26261594 + ... + 30937475.

It is an arithmetic number, because the mean of its divisors is an integer number (8564845744125).

It is a 2-persistent number, because it is pandigital, and so is 2⋅133728048576929 = 267456097153858, but 3⋅133728048576929 = 401184145730787 is not.

Almost surely, 2133728048576929 is an apocalyptic number.

It is an amenable number.

133728048576929 is a deficient number, since it is larger than the sum of its proper divisors (3309483329071).

133728048576929 is a wasteful number, since it uses less digits than its factorization.

133728048576929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57199508.

The product of its (nonzero) digits is 1097349120, while the sum is 74.

The spelling of 133728048576929 in words is "one hundred thirty-three trillion, seven hundred twenty-eight billion, forty-eight million, five hundred seventy-six thousand, nine hundred twenty-nine".

Divisors: 1 89 109 241 9701 21449 26269 2337941 57199069 5090717141 6234698521 13784975629 554888168369 1226862830981 1502562343561 133728048576929