Search a number
-
+
545506442240 = 2105306134807
BaseRepresentation
bin1111111000000101011…
…01111011110000000000
31221011001021121111110012
413330002231323300000
532414144122122430
61054334024124052
754261105152534
oct7740255736000
91834037544405
10545506442240
111a0391190051
1289881006628
133c596c5b386
141c58cc43bc4
15e2cac5d695
hex7f02b7bc00

545506442240 has 88 divisors (see below), whose sum is σ = 1309041303072. Its totient is φ = 218125025280.

The previous prime is 545506442227. The next prime is 545506442251. The reversal of 545506442240 is 42244605545.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15654917 + ... + 15689723.

Almost surely, 2545506442240 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 545506442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654520651536).

545506442240 is an abundant number, since it is smaller than the sum of its proper divisors (763534860832).

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

545506442240 is a wasteful number, since it uses less digits than its factorization.

545506442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37893 (or 37875 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 41.

The spelling of 545506442240 in words is "five hundred forty-five billion, five hundred six million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3061 5120 6122 12244 15305 24488 30610 34807 48976 61220 69614 97952 122440 139228 174035 195904 244880 278456 348070 391808 489760 556912 696140 783616 979520 1113824 1392280 1567232 1959040 2227648 2784560 3134464 3918080 4455296 5569120 7836160 8910592 11138240 15672320 17821184 22276480 35642368 44552960 89105920 106544227 178211840 213088454 426176908 532721135 852353816 1065442270 1704707632 2130884540 3409415264 4261769080 6818830528 8523538160 13637661056 17047076320 27275322112 34094152640 54550644224 68188305280 109101288448 136376610560 272753221120 545506442240