Search a number
-
+
53412041200 = 2452797196657
BaseRepresentation
bin110001101111100110…
…110001000111110000
312002212101011211020011
4301233212301013300
51333341440304300
640312005224304
73600412600510
oct615746610760
9162771154204
1053412041200
1120719783111
12a427702094
13506292050b
142829953840
1515c91c9eba
hexc6f9b11f0

53412041200 has 120 divisors (see below), whose sum is σ = 148166856992. Its totient is φ = 18123816960.

The previous prime is 53412041041. The next prime is 53412041219. The reversal of 53412041200 is 214021435.

It is a super-2 number, since 2×534120412002 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 173272 + ... + 369928.

Almost surely, 253412041200 is an apocalyptic number.

53412041200 is a gapful number since it is divisible by the number (50) 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 53412041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74083428496).

53412041200 is an abundant number, since it is smaller than the sum of its proper divisors (94754815792).

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

53412041200 is a wasteful number, since it uses less digits than its factorization.

53412041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196779 (or 196768 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 53412041200 its reverse (214021435), we get a palindrome (53626062635).

The spelling of 53412041200 in words is "fifty-three billion, four hundred twelve million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 140 175 194 200 280 350 388 400 485 560 679 700 776 970 1358 1400 1552 1940 2425 2716 2800 3395 3880 4850 5432 6790 7760 9700 10864 13580 16975 19400 27160 33950 38800 54320 67900 135800 196657 271600 393314 786628 983285 1376599 1573256 1966570 2753198 3146512 3933140 4916425 5506396 6882995 7866280 9832850 11012792 13765990 15732560 19075729 19665700 22025584 27531980 34414975 38151458 39331400 55063960 68829950 76302916 78662800 95378645 110127920 133530103 137659900 152605832 190757290 267060206 275319800 305211664 381514580 476893225 534120412 550639600 667650515 763029160 953786450 1068240824 1335301030 1526058320 1907572900 2136481648 2670602060 3338252575 3815145800 5341204120 6676505150 7630291600 10682408240 13353010300 26706020600 53412041200