Search a number
-
+
104933302272 = 2133211932
BaseRepresentation
bin110000110111010000…
…0110010000000000000
3101000211222112001201200
41201232200302000000
53204400411133042
6120112232501200
710403226231651
oct1415640620000
9330758461650
10104933302272
1140558128117
1218405b4a800
139b838b7906
14511631d528
152ae23b8c4c
hex186e832000

104933302272 has 126 divisors (see below), whose sum is σ = 303376445697. Its totient is φ = 34948448256.

The previous prime is 104933302241. The next prime is 104933302301. The reversal of 104933302272 is 272203339401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

104933302272 is a `hidden beast` number, since 10 + 4 + 93 + 330 + 227 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104913801216 + 19501056 = 323904^2 + 4416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=229056.

It is a super-2 number, since 2×1049333022722 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87956908 + ... + 87958100.

Almost surely, 2104933302272 is an apocalyptic number.

104933302272 is a gapful number since it is divisible by the number (12) 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 104933302272

104933302272 is an abundant number, since it is smaller than the sum of its proper divisors (198443143425).

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

104933302272 is an frugal number, since it uses more digits than its factorization.

104933302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 104933302272 in words is "one hundred four billion, nine hundred thirty-three million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1193 1536 2048 2304 2386 3072 3579 4096 4608 4772 6144 7158 8192 9216 9544 10737 12288 14316 18432 19088 21474 24576 28632 36864 38176 42948 57264 73728 76352 85896 114528 152704 171792 229056 305408 343584 458112 610816 687168 916224 1221632 1374336 1423249 1832448 2443264 2748672 2846498 3664896 4269747 4886528 5497344 5692996 7329792 8539494 9773056 10994688 11385992 12809241 14659584 17078988 21989376 22771984 25618482 29319168 34157976 43978752 45543968 51236964 68315952 87957504 91087936 102473928 136631904 182175872 204947856 273263808 364351744 409895712 546527616 728703488 819791424 1093055232 1457406976 1639582848 2186110464 2914813952 3279165696 4372220928 5829627904 6558331392 8744441856 11659255808 13116662784 17488883712 26233325568 34977767424 52466651136 104933302272