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345835502929455 = 35711389941381773
BaseRepresentation
bin100111010100010010001101…
…0010011011000011000101111
31200100111112212211011011000120
41032220210122103120120233
5330312132102222220310
63223310345312300023
7132562535105162040
oct11650443223303057
91610445784134016
10345835502929455
11a0215016544160
12329552a2241613
1311ac81c01a3466
146158755c448c7
1529eae95d65b70
hex13a891a4d862f

345835502929455 has 128 divisors (see below), whose sum is σ = 691729850972160. Its totient is φ = 143337393039360.

The previous prime is 345835502929447. The next prime is 345835502929487. The reversal of 345835502929455 is 554929205538543.

It is a happy number.

It is not a de Polignac number, because 345835502929455 - 23 = 345835502929447 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345835502929455.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4229172949 + ... + 4229254721.

It is an arithmetic number, because the mean of its divisors is an integer number (5404139460720).

Almost surely, 2345835502929455 is an apocalyptic number.

345835502929455 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345835502929455 is an abundant number, since it is smaller than the sum of its proper divisors (345894348042705).

345835502929455 is a wasteful number, since it uses less digits than its factorization.

345835502929455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91601.

The product of its (nonzero) digits is 1166400000, while the sum is 69.

The spelling of 345835502929455 in words is "three hundred forty-five trillion, eight hundred thirty-five billion, five hundred two million, nine hundred twenty-nine thousand, four hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 389 1155 1167 1945 2723 4279 5835 8169 9413 12837 13615 21395 28239 29953 40845 47065 64185 65891 81773 89859 103543 141195 149765 197673 245319 310629 329455 408865 449295 517715 572411 724801 899503 988365 1226595 1553145 1717233 2174403 2698509 2862055 3624005 3661657 4497515 6296521 8586165 10872015 10984971 13492545 18308285 18889563 25631599 31482605 31809697 40278227 54924855 76894797 94447815 95429091 120834681 128157995 159048485 201391135 222667879 281947589 349906667 384473985 477145455 604173405 668003637 769729249 845842767 1049720001 1113339395 1409737945 1749533335 2309187747 2449346669 3340018185 3848646245 4229213835 5248600005 5388104743 7348040007 8467021739 11545938735 12246733345 16164314229 25401065217 26940523715 36740200035 42335108695 59269152173 80821571145 127005326085 177807456519 296345760865 299424677861 889037282595 898274033583 1497123389305 2095972745027 3293671456471 4491370167915 6287918235081 9881014369413 10479863725135 16468357282355 23055700195297 31439591175405 49405071847065 69167100585891 115278500976485 345835502929455