Search a number
-
+
345537201075 = 352113117975479
BaseRepresentation
bin1010000011100111001…
…11110100001110110011
31020000220002012112010220
411001303213310032303
521130130010413300
6422423153224123
733651506514453
oct5016347641663
91200802175126
10345537201075
111235a5818480
1256b73862043
132677911b6c1
1412a1cc8bd63
158ec5362da0
hex50739f43b3

345537201075 has 96 divisors (see below), whose sum is σ = 646930022400. Its totient is φ = 161221008000.

The previous prime is 345537201067. The next prime is 345537201077. The reversal of 345537201075 is 570102735543.

It is not a de Polignac number, because 345537201075 - 23 = 345537201067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345537201077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4540186 + ... + 4615664.

It is an arithmetic number, because the mean of its divisors is an integer number (6738854400).

Almost surely, 2345537201075 is an apocalyptic number.

345537201075 is a deficient number, since it is larger than the sum of its proper divisors (301392821325).

345537201075 is a wasteful number, since it uses less digits than its factorization.

345537201075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75713 (or 75708 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 345537201075 in words is "three hundred forty-five billion, five hundred thirty-seven million, two hundred one thousand, seventy-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 179 275 341 465 537 775 825 895 1023 1705 1969 2325 2685 4475 5115 5549 5907 8525 9845 13425 16647 25575 27745 29535 49225 61039 75479 83235 138725 147675 183117 226437 305195 377395 416175 830269 915585 1132185 1525975 1886975 2339849 2490807 4151345 4577925 5660925 7019547 11699245 12454035 13510741 20756725 25738339 35097735 40532223 58496225 62270175 67553705 77215017 128691695 148618151 175488675 202661115 337768525 386075085 418832971 445854453 643458475 743090755 1013305575 1256498913 1930375425 2094164855 2229272265 3715453775 4607162681 6282494565 10470824275 11146361325 13821488043 23035813405 31412472825 69107440215 115179067025 345537201075