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133272120184 = 23723337479641
BaseRepresentation
bin111110000011110100…
…0110010101101111000
3110201222222000011200021
41330013220302231320
54140420130321214
6141120244020224
712425415221230
oct1740750625570
9421888004607
10133272120184
115157a701495
12219b4691674
13c74ba74c18
146643ca8cc0
15370025a924
hex1f07a32b78

133272120184 has 128 divisors (see below), whose sum is σ = 299975270400. Its totient is φ = 54272655360.

The previous prime is 133272120127. The next prime is 133272120193. The reversal of 133272120184 is 481021272331.

It is a super-2 number, since 2×1332721201842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207912504 + ... + 207913144.

It is an arithmetic number, because the mean of its divisors is an integer number (2343556800).

Almost surely, 2133272120184 is an apocalyptic number.

133272120184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133272120184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149987635200).

133272120184 is an abundant number, since it is smaller than the sum of its proper divisors (166703150216).

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

133272120184 is a wasteful number, since it uses less digits than its factorization.

133272120184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 133272120184 in words is "one hundred thirty-three billion, two hundred seventy-two million, one hundred twenty thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 337 479 641 644 674 958 1282 1288 1348 1916 2359 2564 2696 3353 3832 4487 4718 5128 6706 7751 8974 9436 11017 13412 14743 15502 17948 18872 22034 26824 29486 31004 35896 44068 54257 58972 62008 77119 88136 103201 108514 117944 154238 161423 206402 216017 217028 307039 308476 322846 412804 432034 434056 614078 616952 645692 825608 864068 1129961 1228156 1291384 1512119 1728136 2149273 2259922 2456312 3024238 3712729 4298546 4519844 4968391 6048476 7061897 7425458 8597092 9039688 9936782 12096952 14123794 14850916 17194184 19873564 25989103 28247588 29701832 34778737 39747128 49433279 51978206 56495176 69557474 98866558 103472143 103956412 139114948 197733116 206944286 207912824 278229896 395466232 413888572 724305001 827777144 1448610002 2379859289 2897220004 4759718578 5794440008 9519437156 16659015023 19038874312 33318030046 66636060092 133272120184