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53413105120 = 25517193101747
BaseRepresentation
bin110001101111101010…
…110100110111100000
312002212110011212122121
4301233222310313200
51333342223330440
640312044114024
73600424621354
oct615752646740
9162773155577
1053413105120
112071a33a491
12a427b35914
135062c0385b
142829b4d464
1515c933a34a
hexc6fab4de0

53413105120 has 96 divisors (see below), whose sum is σ = 134304918048. Its totient is φ = 20004077568.

The previous prime is 53413105099. The next prime is 53413105129. The reversal of 53413105120 is 2150131435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53413105129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474087 + ... + 575833.

It is an arithmetic number, because the mean of its divisors is an integer number (1399009563).

Almost surely, 253413105120 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 53413105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67152459024).

53413105120 is an abundant number, since it is smaller than the sum of its proper divisors (80891812928).

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

53413105120 is a wasteful number, since it uses less digits than its factorization.

53413105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101972 (or 101964 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 53413105120 its reverse (2150131435), we get a palindrome (55563236555).

The spelling of 53413105120 in words is "fifty-three billion, four hundred thirteen million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 193 272 340 386 544 680 772 965 1360 1544 1930 2720 3088 3281 3860 6176 6562 7720 13124 15440 16405 26248 30880 32810 52496 65620 101747 104992 131240 203494 262480 406988 508735 524960 813976 1017470 1627952 1729699 2034940 3255904 3459398 4069880 6918796 8139760 8648495 13837592 16279520 17296990 19637171 27675184 34593980 39274342 55350368 69187960 78548684 98185855 138375920 157097368 196371710 276751840 314194736 333831907 392743420 628389472 667663814 785486840 1335327628 1570973680 1669159535 2670655256 3141947360 3338319070 5341310512 6676638140 10682621024 13353276280 26706552560 53413105120