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385710470877169 = 1132151211512
BaseRepresentation
bin101011110110011010011011…
…1100110100100111111110001
31212120200120010220012210210201
41113230310313212210333301
5401023440021021032134
63444200535533555201
7144146443015312024
oct12754646746447761
91776616126183721
10385710470877169
1110199898a3a4809
1237315334345b01
131372b458bb1b19
146b366b49711bb
152e8d333e43914
hex15ecd379a4ff1

385710470877169 has 27 divisors (see below), whose sum is σ = 392088941609547. Its totient is φ = 379435391160000.

The previous prime is 385710470877107. The next prime is 385710470877187. The reversal of 385710470877169 is 961778074017583.

The square root of 385710470877169 is 19639513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6796527210225 + 378913943666944 = 2607015^2 + 19465712^2 .

It is not a de Polignac number, because 385710470877169 - 29 = 385710470876657 is a prime.

It is a super-2 number, since 2×3857104708771692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385710470877569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 335109009744 + ... + 335109010894.

Almost surely, 2385710470877169 is an apocalyptic number.

385710470877169 is the 19639513-rd square number.

385710470877169 is the 9819757-th centered octagonal number.

It is an amenable number.

385710470877169 is a deficient number, since it is larger than the sum of its proper divisors (6378470732378).

385710470877169 is an frugal number, since it uses more digits than its factorization.

385710470877169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 73.

The spelling of 385710470877169 in words is "three hundred eighty-five trillion, seven hundred ten billion, four hundred seventy million, eight hundred seventy-seven thousand, one hundred sixty-nine".

Divisors: 1 113 151 1151 12769 17063 22801 130063 173801 1324801 1928119 2576513 14697119 19639513 26243951 149702513 200044951 291145969 2219264969 2965566463 16916383969 22605079463 30206787601 335109010319 2554373979319 3413366998913 385710470877169