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4414772375 = 531323414367
BaseRepresentation
bin1000001110010010…
…00001010010010111
3102101200011200011222
410013021001102113
533020140204000
62010023520555
7214254642326
oct40711012227
912350150158
104414772375
111966029912
12a325b915b
13554835b60
142dc4820bd
151ac8a5a85
hex107241497

4414772375 has 128 divisors (see below), whose sum is σ = 6586804224. Its totient is φ = 2927232000.

The previous prime is 4414772273. The next prime is 4414772437. The reversal of 4414772375 is 5732774144.

It is not a de Polignac number, because 4414772375 - 216 = 4414706839 is a prime.

Its product of digits (658560) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65892092 + ... + 65892158.

It is an arithmetic number, because the mean of its divisors is an integer number (51459408).

Almost surely, 24414772375 is an apocalyptic number.

4414772375 is a deficient number, since it is larger than the sum of its proper divisors (2172031849).

4414772375 is a wasteful number, since it uses less digits than its factorization.

4414772375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 658560, while the sum is 44.

The square root of 4414772375 is about 66443.7534686294. The cubic root of 4414772375 is about 1640.4743292622.

The spelling of 4414772375 in words is "four billion, four hundred fourteen million, seven hundred seventy-two thousand, three hundred seventy-five".

Divisors: 1 5 13 23 25 41 43 65 67 115 125 205 215 299 325 335 533 559 575 871 943 989 1025 1075 1495 1541 1625 1675 1763 2665 2747 2795 2875 2881 4355 4715 4945 5125 5375 7475 7705 8375 8815 12259 12857 13325 13735 13975 14405 20033 21775 22919 23575 24725 35711 37375 37453 38525 40549 44075 61295 63181 64285 66263 66625 68675 69875 72025 100165 108875 114595 117875 118121 123625 178555 187265 192625 202745 220375 306475 315905 321425 331315 343375 360125 500825 527137 572975 590605 821353 861419 892775 936325 1013725 1532375 1535573 1579525 1607125 1656575 2504125 2635685 2716783 2864875 2953025 4106765 4307095 4463875 4681625 5068625 7677865 7897625 8282875 13178425 13583915 14765125 20533825 21535475 35318179 38389325 65892125 67919575 102669125 107677375 176590895 191946625 339597875 882954475 4414772375