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550561601100 = 223527331792061
BaseRepresentation
bin10000000001100000000…
…01110101011001001100
31221122002120210011202010
420000300001311121030
533010022232213400
61100531405501220
754530300252160
oct10006001653114
91848076704663
10550561601100
111a2545741795
128a851b71810
133cbc1360534
141c90c382ca0
15e4c495d450
hex803007564c

550561601100 has 144 divisors (see below), whose sum is σ = 1826026071296. Its totient is φ = 125462304000.

The previous prime is 550561601071. The next prime is 550561601111. The reversal of 550561601100 is 1106165055.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299070 + ... + 1091130.

Almost surely, 2550561601100 is an apocalyptic number.

550561601100 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 550561601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913013035648).

550561601100 is an abundant number, since it is smaller than the sum of its proper divisors (1275464470196).

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

550561601100 is a wasteful number, since it uses less digits than its factorization.

550561601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792416 (or 792409 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 550561601100 its reverse (1106165055), we get a palindrome (551667766155).

The spelling of 550561601100 in words is "five hundred fifty billion, five hundred sixty-one million, six hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3972 4634 4965 6620 6951 8275 9268 9930 11585 13902 16550 19860 23170 24825 27804 33100 34755 46340 49650 57925 69510 99300 115850 139020 173775 231700 347550 695100 792061 1584122 2376183 3168244 3960305 4752366 5544427 7920610 9504732 11088854 11880915 15841220 16633281 19801525 22177708 23761830 27722135 33266562 39603050 47523660 55444270 59404575 66533124 79206100 83166405 110888540 118809150 138610675 166332810 237618300 262172191 277221350 332665620 415832025 524344382 554442700 786516573 831664050 1048688764 1310860955 1573033146 1663328100 1835205337 2621721910 3146066292 3670410674 3932582865 5243443820 5505616011 6554304775 7340821348 7865165730 9176026685 11011232022 13108609550 15730331460 18352053370 19662914325 22022464044 26217219100 27528080055 36704106740 39325828650 45880133425 55056160110 78651657300 91760266850 110112320220 137640400275 183520533700 275280800550 550561601100