Search a number
-
+
348706255993770 = 235883105112524923
BaseRepresentation
bin100111101001001011000000…
…0100001001111101110101010
31200201122222210112111210212210
41033102112000201033232222
5331201200403013300040
63233345235325345550
7133310124044462433
oct11722260041175652
91621588715453783
10348706255993770
11a1121546834104
12331397377082b6
1311c75b21b5a00c
1462176896a048a
152a4a9b38eb480
hex13d258084fbaa

348706255993770 has 64 divisors (see below), whose sum is σ = 838640053615104. Its totient is φ = 92794642113600.

The previous prime is 348706255993747. The next prime is 348706255993783. The reversal of 348706255993770 is 77399552607843.

It is a junction number, because it is equal to n+sod(n) for n = 348706255993692 and 348706255993701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21578529 + ... + 34103451.

It is an arithmetic number, because the mean of its divisors is an integer number (13103750837736).

Almost surely, 2348706255993770 is an apocalyptic number.

348706255993770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

348706255993770 is an abundant number, since it is smaller than the sum of its proper divisors (489933797621334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348706255993770 is a wasteful number, since it uses less digits than its factorization.

348706255993770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526867.

The product of its (nonzero) digits is 2400451200, while the sum is 75.

The spelling of 348706255993770 in words is "three hundred forty-eight trillion, seven hundred six billion, two hundred fifty-five million, nine hundred ninety-three thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 883 1051 1766 2102 2649 3153 4415 5255 5298 6306 8830 10510 13245 15765 26490 31530 928033 1856066 2784099 4640165 5568198 9280330 12524923 13920495 25049846 27840990 37574769 62624615 75149538 125249230 187873845 375747690 11059507009 13163694073 22119014018 26327388146 33178521027 39491082219 55297535045 65818470365 66357042054 78982164438 110595070090 131636940730 165892605135 197455411095 331785210270 394910822190 11623541866459 23247083732918 34870625599377 58117709332295 69741251198754 116235418664590 174353127996885 348706255993770