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133706504281 = 72522372
BaseRepresentation
bin111110010000110000…
…1110101100001011001
3110210010020101011122011
41330201201311201121
54142312331114111
6141231322225521
712442241351200
oct1744141654131
9423106334564
10133706504281
1151782921709
1221ab60552a1
13c7baa64b2c
146685860237
153728462021
hex1f21875859

133706504281 has 9 divisors (see below), whose sum is σ = 155539115199. Its totient is φ = 114603381144.

The previous prime is 133706504273. The next prime is 133706504317. The reversal of 133706504281 is 182405607331.

The square root of 133706504281 is 365659.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52187118025 + 81519386256 = 228445^2 + 285516^2 .

It is not a de Polignac number, because 133706504281 - 23 = 133706504273 is a prime.

It is a super-2 number, since 2×1337065042812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133706507281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2533495 + ... + 2585731.

It is an arithmetic number, because the mean of its divisors is an integer number (17282123911).

Almost surely, 2133706504281 is an apocalyptic number.

133706504281 is the 365659-th square number.

133706504281 is the 182830-th centered octagonal number.

It is an amenable number.

133706504281 is a deficient number, since it is larger than the sum of its proper divisors (21832610918).

133706504281 is an frugal number, since it uses more digits than its factorization.

133706504281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104488 (or 52244 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 133706504281 in words is "one hundred thirty-three billion, seven hundred six million, five hundred four thousand, two hundred eighty-one".

Divisors: 1 7 49 52237 365659 2559613 2728704169 19100929183 133706504281