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550513541120 = 21751018317
BaseRepresentation
bin10000000001011010010…
…10100000000000000000
31221121222020100110211212
420000231022200000000
533004422431303440
61100522531425252
754526144614464
oct10005512400000
91847866313755
10550513541120
111a25205a65a4
128a839a55228
133cbb440418a
141c905c324a4
15e4c0618465
hex802d2a0000

550513541120 has 144 divisors (see below), whose sum is σ = 1334469350088. Its totient is φ = 217998950400.

The previous prime is 550513541101. The next prime is 550513541173. The reversal of 550513541120 is 21145315055.

It can be written as a sum of positive squares in 4 ways, for example, as 537183453184 + 13330087936 = 732928^2 + 115456^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66187202 + ... + 66195518.

Almost surely, 2550513541120 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 550513541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667234675044).

550513541120 is an abundant number, since it is smaller than the sum of its proper divisors (783955808968).

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

550513541120 is an frugal number, since it uses more digits than its factorization.

550513541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

Adding to 550513541120 its reverse (21145315055), we get a palindrome (571658856175).

The spelling of 550513541120 in words is "five hundred fifty billion, five hundred thirteen million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1024 1280 1616 2020 2048 2560 3232 4040 4096 5120 6464 8080 8192 8317 10240 12928 16160 16384 16634 20480 25856 32320 32768 33268 40960 41585 51712 64640 65536 66536 81920 83170 103424 129280 131072 133072 163840 166340 206848 258560 266144 327680 332680 413696 517120 532288 655360 665360 827392 840017 1034240 1064576 1330720 1654784 1680034 2068480 2129152 2661440 3309568 3360068 4136960 4200085 4258304 5322880 6619136 6720136 8273920 8400170 8516608 10645760 13238272 13440272 16547840 16800340 17033216 21291520 26880544 33095680 33600680 34066432 42583040 53761088 66191360 67201360 68132864 85166080 107522176 134402720 136265728 170332160 215044352 268805440 272531456 340664320 430088704 537610880 545062912 681328640 860177408 1075221760 1090125824 1362657280 1720354816 2150443520 2725314560 3440709632 4300887040 5450629120 6881419264 8601774080 13762838528 17203548160 27525677056 34407096320 55051354112 68814192640 110102708224 137628385280 275256770560 550513541120