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45345110520 = 23351572778689
BaseRepresentation
bin101010001110110001…
…110111100111111000
311100001011211021200210
4222032301313213320
51220331322014040
632455315031120
73163460036253
oct521661674770
9140034737623
1045345110520
111825a150756
128955b9b4a0
134378574958
1422a242609a
1512a5dad480
hexa8ec779f8

45345110520 has 128 divisors (see below), whose sum is σ = 137411841600. Its totient is φ = 11970256896.

The previous prime is 45345110513. The next prime is 45345110557. The reversal of 45345110520 is 2501154354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5214336 + ... + 5223024.

Almost surely, 245345110520 is an apocalyptic number.

45345110520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45345110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68705920800).

45345110520 is an abundant number, since it is smaller than the sum of its proper divisors (92066731080).

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

45345110520 is a wasteful number, since it uses less digits than its factorization.

45345110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 45345110520 its reverse (2501154354), we get a palindrome (47846264874).

The spelling of 45345110520 in words is "forty-five billion, three hundred forty-five million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 277 314 471 554 628 785 831 942 1108 1256 1385 1570 1662 1884 2216 2355 2770 3140 3324 3768 4155 4710 5540 6280 6648 8310 8689 9420 11080 16620 17378 18840 26067 33240 34756 43445 43489 52134 69512 86890 86978 104268 130335 130467 173780 173956 208536 217445 260670 260934 347560 347912 434890 521340 521868 652335 869780 1042680 1043736 1304670 1364173 1739560 2406853 2609340 2728346 4092519 4813706 5218680 5456692 6820865 7220559 8185038 9627412 10913384 12034265 13641730 14441118 16370076 19254824 20462595 24068530 27283460 28882236 32740152 36102795 40925190 48137060 54566920 57764472 72205590 81850380 96274120 144411180 163700760 288822360 377875921 755751842 1133627763 1511503684 1889379605 2267255526 3023007368 3778759210 4534511052 5668138815 7557518420 9069022104 11336277630 15115036840 22672555260 45345110520