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4127133696 = 2123747981
BaseRepresentation
bin1111010111111111…
…0001000000000000
3101122121221010002120
43311333301000000
531423021234241
61521310444240
7204163025520
oct36577610000
911577833076
104127133696
1118287286a4
12972203680
1350a07565a
142b21a9680
151924d9666
hexf5ff1000

4127133696 has 104 divisors (see below), whose sum is σ = 12576657984. Its totient is φ = 1179156480.

The previous prime is 4127133683. The next prime is 4127133709. The reversal of 4127133696 is 6963317214.

It is an interprime number because it is at equal distance from previous prime (4127133683) and next prime (4127133709).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62026 + ... + 110006.

Almost surely, 24127133696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288328992).

4127133696 is an abundant number, since it is smaller than the sum of its proper divisors (8449524288).

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

4127133696 is an equidigital number, since it uses as much as digits as its factorization.

4127133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015 (or 47993 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 4127133696 is about 64242.7715466884. The cubic root of 4127133696 is about 1604.0436386740.

The spelling of 4127133696 in words is "four billion, one hundred twenty-seven million, one hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 21504 28672 43008 47981 86016 95962 143943 191924 287886 335867 383848 575772 671734 767696 1007601 1151544 1343468 1535392 2015202 2303088 2686936 3070784 4030404 4606176 5373872 6141568 8060808 9212352 10747744 12283136 16121616 18424704 21495488 24566272 32243232 36849408 42990976 49132544 64486464 73698816 85981952 98265088 128972928 147397632 171963904 196530176 257945856 294795264 343927808 515891712 589590528 687855616 1031783424 1375711232 2063566848 4127133696