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545022100524 = 2231141325130977
BaseRepresentation
bin1111110111001011101…
…10010100010000101100
31221002210112020101112010
413323211312110100230
532412201124204044
61054214003041220
754243104262546
oct7734566242054
91832715211463
10545022100524
111a0162848a40
1289766970210
133c51a7c9445
141c5447a6696
15e29d489bb9
hex7ee5d9442c

545022100524 has 96 divisors (see below), whose sum is σ = 1421649315072. Its totient is φ = 161075200000.

The previous prime is 545022100489. The next prime is 545022100531. The reversal of 545022100524 is 425001220545.

It is a super-2 number, since 2×5450221005242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 545022100491 and 545022100500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17578924 + ... + 17609900.

It is an arithmetic number, because the mean of its divisors is an integer number (14808847032).

Almost surely, 2545022100524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545022100524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710824657536).

545022100524 is an abundant number, since it is smaller than the sum of its proper divisors (876627214548).

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

545022100524 is a wasteful number, since it uses less digits than its factorization.

545022100524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34287 (or 34285 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

It can be divided in two parts, 545022 and 100524, that added together give a palindrome (645546).

The spelling of 545022100524 in words is "five hundred forty-five billion, twenty-two million, one hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 3251 5412 6502 9753 13004 19506 30977 35761 39012 61954 71522 92931 107283 123908 133291 143044 185862 214566 266582 340747 371724 399873 429132 533164 681494 799746 1022241 1270057 1362988 1466201 1599492 2044482 2540114 2932402 3810171 4088964 4398603 5080228 5864804 7620342 8797206 13970627 15240684 17594412 27941254 41911881 55882508 83823762 100706227 167647524 201412454 302118681 402824908 604237362 1107768497 1208474724 2215536994 3323305491 4128955307 4431073988 6646610982 8257910614 12386865921 13293221964 16515821228 24773731842 45418508377 49547463684 90837016754 136255525131 181674033508 272511050262 545022100524