Search a number
-
+
45145555644 = 22371964144129
BaseRepresentation
bin101010000010111000…
…101000001010111100
311022112021022211212110
4222002320220022330
51214424230240034
632423425534020
73155514614520
oct520270501274
9138467284773
1045145555644
1118167542172
1288bb1a4310
134346115147
142283b1bd80
1512935e0de9
hexa82e282bc

45145555644 has 96 divisors (see below), whose sum is σ = 126924940800. Its totient is φ = 12200509440.

The previous prime is 45145555643. The next prime is 45145555669. The reversal of 45145555644 is 44655554154.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45145555593 and 45145555602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45145555643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000972 + ... + 1045100.

It is an arithmetic number, because the mean of its divisors is an integer number (1322134800).

Almost surely, 245145555644 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 45145555644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63462470400).

45145555644 is an abundant number, since it is smaller than the sum of its proper divisors (81779385156).

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

45145555644 is a wasteful number, since it uses less digits than its factorization.

45145555644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44803 (or 44801 counting only the distinct ones).

The product of its digits is 4800000, while the sum is 48.

The spelling of 45145555644 in words is "forty-five billion, one hundred forty-five million, five hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 641 798 1282 1596 1923 2564 3846 4487 7692 8974 12179 13461 17948 24358 26922 36537 44129 48716 53844 73074 85253 88258 132387 146148 170506 176516 255759 264774 308903 341012 511518 529548 617806 838451 926709 1023036 1235612 1676902 1853418 2515353 3353804 3706836 5030706 5869157 10061412 11738314 17607471 23476628 28286689 35214942 56573378 70429884 84860067 113146756 169720134 198006823 339440268 396013646 537447091 594020469 792027292 1074894182 1188040938 1612341273 2149788364 2376081876 3224682546 3762129637 6449365092 7524259274 11286388911 15048518548 22572777822 45145555644