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4129038050319 = 35713186724463
BaseRepresentation
bin111100000101011101110…
…110001010010000001111
3112121201202202112211200000
4330011131312022100033
51020122232220102234
612440504235135343
7604212261224340
oct74053566122017
915551682484600
104129038050319
11135212a376766
1256829a5a4553
1323c49c5c6370
14103bbcb640c7
1572614656899
hex3c15dd8a40f

4129038050319 has 48 divisors (see below), whose sum is σ = 7612382948352. Its totient is φ = 2177954124768.

The previous prime is 4129038050243. The next prime is 4129038050323. The reversal of 4129038050319 is 9130508309214.

It is a happy number.

4129038050319 is a `hidden beast` number, since 4 + 12 + 90 + 38 + 0 + 503 + 19 = 666.

4129038050319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4129038050319 - 215 = 4129038017551 is a prime.

It is a super-2 number, since 2×41290380503192 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129038050359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93340119 + ... + 93384344.

It is an arithmetic number, because the mean of its divisors is an integer number (158591311424).

Almost surely, 24129038050319 is an apocalyptic number.

4129038050319 is a deficient number, since it is larger than the sum of its proper divisors (3483344898033).

4129038050319 is a wasteful number, since it uses less digits than its factorization.

4129038050319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186724498 (or 186724486 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 4129038050319 in words is "four trillion, one hundred twenty-nine billion, thirty-eight million, fifty thousand, three hundred nineteen".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 819 1053 1701 2457 3159 7371 22113 186724463 560173389 1307071241 1680520167 2427418019 3921213723 5041560501 7282254057 11763641169 15124681503 16991926133 21846762171 35290923507 45374044509 50975778399 65540286513 105872770521 152927335197 196620859539 317618311563 458782005591 589862578617 1376346016773 4129038050319