Search a number
-
+
545020412136 = 2335910331311939
BaseRepresentation
bin1111110111001011011…
…11111000000011101000
31221002210102001121111020
413323211233320003220
532412200211142021
61054213502532440
754243054031254
oct7734557700350
91832712047436
10545020412136
111a01618a5482
1289766297120
133c51a357ab5
141c544487264
15e29d2547c6
hex7ee5bf80e8

545020412136 has 128 divisors (see below), whose sum is σ = 1403685504000. Its totient is φ = 176280519168.

The previous prime is 545020412129. The next prime is 545020412141. The reversal of 545020412136 is 631214020545.

It is a junction number, because it is equal to n+sod(n) for n = 545020412097 and 545020412106.

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, 45644455 + ... + 45656393.

It is an arithmetic number, because the mean of its divisors is an integer number (10966293000).

Almost surely, 2545020412136 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 545020412136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701842752000).

545020412136 is an abundant number, since it is smaller than the sum of its proper divisors (858665091864).

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

545020412136 is a wasteful number, since it uses less digits than its factorization.

545020412136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 545020412136 in words is "five hundred forty-five billion, twenty million, four hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 59 103 118 177 206 236 309 313 354 412 472 618 626 708 824 939 1236 1252 1416 1878 2472 2504 3756 6077 7512 11939 12154 18231 18467 23878 24308 32239 35817 36462 36934 47756 48616 55401 64478 71634 72924 73868 95512 96717 110802 128956 143268 145848 147736 193434 221604 257912 286536 386868 443208 704401 773736 1229717 1408802 1902101 2113203 2459434 2817604 3689151 3736907 3804202 4226406 4918868 5635208 5706303 7378302 7473814 7608404 8452812 9837736 11210721 11412606 14756604 14947628 15216808 16905624 22421442 22825212 29513208 29895256 44842884 45650424 72553303 89685768 145106606 217659909 220477513 290213212 384901421 435319818 440955026 580426424 661432539 769802842 870639636 881910052 1154704263 1322865078 1539605684 1741279272 1763820104 2309408526 2645730156 3079211368 4618817052 5291460312 9237634104 22709183839 45418367678 68127551517 90836735356 136255103034 181673470712 272510206068 545020412136