Search a number
-
+
45211982823 = 3273432892
BaseRepresentation
bin101010000110110110…
…000001101111100111
311022200220022200211100
4222012312001233213
51220043231422243
632434201411143
73160252341000
oct520666015747
9138626280740
1045211982823
11181a0a92967
128919499ab3
134356b02677
14228c8901a7
1512993630d3
hexa86d81be7

45211982823 has 108 divisors (see below), whose sum is σ = 78857079600. Its totient is φ = 24951060288.

The previous prime is 45211982821. The next prime is 45211982833. The reversal of 45211982823 is 32828911254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45211982823 is a `hidden beast` number, since 452 + 1 + 198 + 2 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 45211982823 - 21 = 45211982821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45211982821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 507999763 + ... + 507999851.

Almost surely, 245211982823 is an apocalyptic number.

45211982823 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

45211982823 is a deficient number, since it is larger than the sum of its proper divisors (33645096777).

45211982823 is an frugal number, since it uses more digits than its factorization.

45211982823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 142 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 45211982823 in words is "forty-five billion, two hundred eleven million, nine hundred eighty-two thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 21 43 49 63 89 129 147 267 301 343 387 441 623 801 903 1029 1849 1869 2107 2709 3087 3827 4361 5547 5607 6321 7921 11481 12943 13083 14749 16641 18963 23763 26789 30527 34443 38829 39249 44247 55447 71289 80367 90601 91581 116487 132741 164561 166341 187523 241101 271803 274743 340603 388129 493683 499023 562569 634207 815409 1021809 1151927 1164387 1312661 1481049 1687707 1902621 2384221 2716903 3065427 3455781 3493161 3937983 5707863 7152663 8063489 8150709 10367343 11813949 14645929 16689547 21457989 24190467 24452127 43937787 50068641 56444423 72571401 102521503 116826829 131813361 150205923 169333269 307564509 350480487 507999807 717650521 922693527 1051441461 2152951563 5023553647 6458854689 15070660941 45211982823