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133792717971 = 31129451930937
BaseRepresentation
bin111110010011010101…
…0101101110010010011
3110210100020121021120210
41330212222231302103
54143001413433341
6141244042135203
712444336224103
oct1744652556223
9423306537523
10133792717971
11518175572a0
1221b1aab1503
13c80288c553
1466930a3203
153730ce1c16
hex1f26aadc93

133792717971 has 32 divisors (see below), whose sum is σ = 201369254400. Its totient is φ = 78270554880.

The previous prime is 133792717901. The next prime is 133792717979. The reversal of 133792717971 is 179717297331.

It is a happy number.

It is not a de Polignac number, because 133792717971 - 210 = 133792716947 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (133792717979) 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, 4309215 + ... + 4340151.

It is an arithmetic number, because the mean of its divisors is an integer number (6292789200).

Almost surely, 2133792717971 is an apocalyptic number.

133792717971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133792717971 is a deficient number, since it is larger than the sum of its proper divisors (67576536429).

133792717971 is a wasteful number, since it uses less digits than its factorization.

133792717971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35499.

The product of its digits is 3500658, while the sum is 57.

The spelling of 133792717971 in words is "one hundred thirty-three billion, seven hundred ninety-two million, seven hundred seventeen thousand, nine hundred seventy-one".

Divisors: 1 3 11 29 33 87 319 957 4519 13557 30937 49709 92811 131051 149127 340307 393153 897173 1020921 1441561 2691519 4324683 9868903 29606709 139804303 419412909 1537847333 4054324787 4613541999 12162974361 44597572657 133792717971