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350347743053 = 71122947303473
BaseRepresentation
bin1010001100100100101…
…10100100111101001101
31020111022100002101011022
411012102112210331031
521220003010234203
6424540400003525
734211641452260
oct5062226447515
91214270071138
10350347743053
11125644192900
1257a969005a5
1327064944449
1412d57b12cd7
1591a7843a38
hex51925a4f4d

350347743053 has 48 divisors (see below), whose sum is σ = 464970723840. Its totient is φ = 257975477760.

The previous prime is 350347743017. The next prime is 350347743071.

350347743053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 350347743053 - 222 = 350343548749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350347742995 and 350347743013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350347743353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002725 + ... + 1306197.

It is an arithmetic number, because the mean of its divisors is an integer number (9686890080).

Almost surely, 2350347743053 is an apocalyptic number.

It is an amenable number.

350347743053 is a deficient number, since it is larger than the sum of its proper divisors (114622980787).

350347743053 is a wasteful number, since it uses less digits than its factorization.

350347743053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303578 (or 303567 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 44.

The spelling of 350347743053 in words is "three hundred fifty billion, three hundred forty-seven million, seven hundred forty-three thousand, fifty-three".

Divisors: 1 7 11 29 47 77 121 203 319 329 517 847 1363 2233 3509 3619 5687 9541 14993 24563 39809 104951 164923 303473 1154461 2124311 3338203 8800717 14263231 23367421 36720233 61605019 96807887 99842617 156895541 257041631 413633699 677655209 1064886757 1098268787 1725850951 2895435893 4549970689 7454207299 12080956657 31849794823 50049677579 350347743053