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4738144425 = 352729911301
BaseRepresentation
bin1000110100110101…
…00101100010101001
3110020012122200020120
410122122211202221
534200431110200
62102054513453
7225262364100
oct43232454251
913205580216
104738144425
112011617043
12b02965889
135a6827b71
1432d3bb037
151cae7e9a0
hex11a6a58a9

4738144425 has 72 divisors (see below), whose sum is σ = 9128915712. Its totient is φ = 2162160000.

The previous prime is 4738144387. The next prime is 4738144493. The reversal of 4738144425 is 5244418374.

It is not a de Polignac number, because 4738144425 - 210 = 4738143401 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3641275 + ... + 3642575.

It is an arithmetic number, because the mean of its divisors is an integer number (126790496).

Almost surely, 24738144425 is an apocalyptic number.

It is an amenable number.

4738144425 is a deficient number, since it is larger than the sum of its proper divisors (4390771287).

4738144425 is a wasteful number, since it uses less digits than its factorization.

4738144425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2307 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 4738144425 is about 68834.1806445025. The cubic root of 4738144425 is about 1679.5880066123.

It can be divided in two parts, 47381 and 44425, that added together give a triangular number (91806 = T428).

The spelling of 4738144425 in words is "four billion, seven hundred thirty-eight million, one hundred forty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 991 1225 1301 2973 3675 3903 4955 6505 6937 9107 14865 19515 20811 24775 27321 32525 34685 45535 48559 63749 74325 97575 104055 136605 145677 173425 191247 227675 242795 318745 520275 683025 728385 956235 1213975 1289291 1593725 3641925 3867873 4781175 6446455 9025037 19339365 27075111 32232275 45125185 63175259 96696825 135375555 189525777 225625925 315876295 676877775 947628885 1579381475 4738144425