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4252801696 = 2511135231777
BaseRepresentation
bin1111110101111100…
…1001101010100000
3101222101101201011221
43331133021222200
532202204123241
61542000144424
7210250134523
oct37537115240
911871351157
104252801696
111892660950
129a8308114
1352a105410
142c4b5cbba
1519d55e5d1
hexfd7c9aa0

4252801696 has 96 divisors (see below), whose sum is σ = 9860816448. Its totient is φ = 1779978240.

The previous prime is 4252801691. The next prime is 4252801699. The reversal of 4252801696 is 6961082524.

It is not an unprimeable number, because it can be changed into a prime (4252801691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392360 + ... + 2394136.

It is an arithmetic number, because the mean of its divisors is an integer number (102716838).

Almost surely, 24252801696 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 4252801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930408224).

4252801696 is an abundant number, since it is smaller than the sum of its proper divisors (5608014752).

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

4252801696 is a wasteful number, since it uses less digits than its factorization.

4252801696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 4252801696 is about 65213.5085392590. The cubic root of 4252801696 is about 1620.1617599994.

The spelling of 4252801696 in words is "four billion, two hundred fifty-two million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 523 572 1046 1144 1777 2092 2288 3554 4184 4576 5753 6799 7108 8368 11506 13598 14216 16736 19547 23012 23101 27196 28432 39094 46024 46202 54392 56864 74789 78188 92048 92404 108784 149578 156376 184096 184808 217568 254111 299156 312752 369616 508222 598312 625504 739232 929371 1016444 1196624 1858742 2032888 2393248 3717484 4065776 7434968 8131552 10223081 12081823 14869936 20446162 24163646 29739872 40892324 48327292 81784648 96654584 132900053 163569296 193309168 265800106 327138592 386618336 531600212 1063200424 2126400848 4252801696