Search a number
-
+
133828004124 = 2232127285110267
BaseRepresentation
bin111110010100011000…
…1010100100100011100
3110210102201000000002100
41330220301110210130
54143034432112444
6141251342325100
712445245160143
oct1745061244434
9423381000070
10133828004124
1151835468301
1221b2a889790
13c809c95629
146697a4a75a
153733e61e69
hex1f28c5491c

133828004124 has 72 divisors (see below), whose sum is σ = 341103945728. Its totient is φ = 44238247200.

The previous prime is 133828004087. The next prime is 133828004131. The reversal of 133828004124 is 421400828331.

It is a happy number.

133828004124 is a `hidden beast` number, since 1 + 338 + 280 + 0 + 41 + 2 + 4 = 666.

It is a super-2 number, since 2×1338280041242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13029639 + ... + 13039905.

Almost surely, 2133828004124 is an apocalyptic number.

It is an amenable number.

133828004124 is an abundant number, since it is smaller than the sum of its proper divisors (207275941604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133828004124 is a wasteful number, since it uses less digits than its factorization.

133828004124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 133828004124 in words is "one hundred thirty-three billion, eight hundred twenty-eight million, four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 2851 4572 5702 8553 10267 11404 17106 20534 25659 30801 34212 41068 51318 61602 92403 102636 123204 184806 362077 369612 724154 1086231 1303909 1448308 2172462 2607818 3258693 3911727 4344924 5215636 6517386 7823454 11735181 13034772 15646908 23470362 29271217 46940724 58542434 87813651 117084868 175627302 263440953 351254604 526881906 1053763812 3717444559 7434889118 11152333677 14869778236 22304667354 33457001031 44609334708 66914002062 133828004124