Search a number
-
+
545213514505200 = 24352679166903931
BaseRepresentation
bin111101111110111100110100…
…1110110111101101111110000
32122111102220101020211110120020
41323331321221312331233300
51032430234234203131300
65211323344131243440
7222561243102234432
oct17375715166755760
92574386336743506
10545213514505200
111487a3831284362
1251196046a49580
131a52b54c1a69c8
14988c6911b8652
1543073c49938a0
hex1efde69dbdbf0

545213514505200 has 120 divisors (see below), whose sum is σ = 1746757829617536. Its totient is φ = 145368859104000.

The previous prime is 545213514505199. The next prime is 545213514505271. The reversal of 545213514505200 is 2505415312545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5452135145052002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25302766 + ... + 41601165.

Almost surely, 2545213514505200 is an apocalyptic number.

545213514505200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

545213514505200 is an abundant number, since it is smaller than the sum of its proper divisors (1201544315112336).

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

545213514505200 is a wasteful number, since it uses less digits than its factorization.

545213514505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66910743 (or 66910732 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

Adding to 545213514505200 its reverse (2505415312545), we get a palindrome (547718929817745).

The spelling of 545213514505200 in words is "five hundred forty-five trillion, two hundred thirteen billion, five hundred fourteen million, five hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 6791 13582 20373 27164 33955 40746 54328 67910 81492 101865 108656 135820 162984 169775 203730 271640 325968 339550 407460 509325 543280 679100 814920 1018650 1358200 1629840 2037300 2716400 4074600 8149200 66903931 133807862 200711793 267615724 334519655 401423586 535231448 669039310 802847172 1003558965 1070462896 1338078620 1605694344 1672598275 2007117930 2676157240 3211388688 3345196550 4014235860 5017794825 5352314480 6690393100 8028471720 10035589650 13380786200 16056943440 20071179300 26761572400 40142358600 80284717200 454344595421 908689190842 1363033786263 1817378381684 2271722977105 2726067572526 3634756763368 4543445954210 5452135145052 6815168931315 7269513526736 9086891908420 10904270290104 11358614885525 13630337862630 18173783816840 21808540580208 22717229771050 27260675725260 34075844656575 36347567633680 45434459542100 54521351450520 68151689313150 90868919084200 109042702901040 136303378626300 181737838168400 272606757252600 545213514505200