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5738418148375 = 531122929344651
BaseRepresentation
bin101001110000001010001…
…1000000001010000010111
3202022120212020010200011101
41103200110120001100113
51223004240021222000
620112105400050531
71131405231314143
oct123402430012027
922276766120141
105738418148375
111912716498700
12788188763a47
13328190963383
1415ba5312a223
159e409498e6a
hex53814601417

5738418148375 has 96 divisors (see below), whose sum is σ = 8171198118720. Its totient is φ = 4015642400000.

The previous prime is 5738418148361. The next prime is 5738418148423.

It is a happy number.

5738418148375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5738418148375 - 25 = 5738418148343 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128494800 + ... + 128539450.

It is an arithmetic number, because the mean of its divisors is an integer number (85116647070).

Almost surely, 25738418148375 is an apocalyptic number.

5738418148375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5738418148375 is a deficient number, since it is larger than the sum of its proper divisors (2432779970345).

5738418148375 is a wasteful number, since it uses less digits than its factorization.

5738418148375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45010 (or 44989 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 64.

The spelling of 5738418148375 in words is "five trillion, seven hundred thirty-eight billion, four hundred eighteen million, one hundred forty-eight thousand, three hundred seventy-five".

Divisors: 1 5 11 25 29 55 121 125 145 275 293 319 605 725 1375 1465 1595 3025 3223 3509 3625 7325 7975 8497 15125 16115 17545 35453 36625 39875 42485 44651 80575 87725 93467 177265 212425 223255 402875 438625 467335 491161 886325 1028137 1062125 1116275 1294879 2336675 2455805 4431625 5140685 5402771 5581375 6474395 11683375 12279025 13082743 14243669 25703425 27013855 32371975 61395125 65413715 71218345 128517125 135069275 143910173 156680359 161859875 327068575 356091725 379399547 675346375 719550865 783401795 1583011903 1635342875 1780458625 1896997735 3597754325 3917008975 4173395017 7915059515 9484988675 17988771625 19585044875 20866975085 39575297575 45907345187 47424943375 104334875425 197876487875 229536725935 521674377125 1147683629675 5738418148375