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55453030400 = 211528313049
BaseRepresentation
bin110011101001010000…
…100001100000000000
312022010121122211001202
4303221100201200000
51402031433433100
641250314520332
74002114660365
oct635120414000
9168117584052
1055453030400
1121576876549
12a8b71360a8
1352c9719731
142980a3c46c
1516984877d5
hexce9421800

55453030400 has 144 divisors (see below), whose sum is σ = 139157109000. Its totient is φ = 21912289280.

The previous prime is 55453030357. The next prime is 55453030489. The reversal of 55453030400 is 403035455.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4243076 + ... + 4256124.

Almost surely, 255453030400 is an apocalyptic number.

55453030400 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 55453030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69578554500).

55453030400 is an abundant number, since it is smaller than the sum of its proper divisors (83704078600).

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

55453030400 is a wasteful number, since it uses less digits than its factorization.

55453030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

Adding to 55453030400 its reverse (403035455), we get a palindrome (55856065855).

The spelling of 55453030400 in words is "fifty-five billion, four hundred fifty-three million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 256 320 332 400 415 512 640 664 800 830 1024 1280 1328 1600 1660 2048 2075 2560 2656 3200 3320 4150 5120 5312 6400 6640 8300 10240 10624 12800 13049 13280 16600 21248 25600 26098 26560 33200 42496 51200 52196 53120 65245 66400 84992 104392 106240 130490 132800 169984 208784 212480 260980 265600 326225 417568 424960 521960 531200 652450 835136 849920 1043920 1062400 1083067 1304900 1670272 2087840 2124800 2166134 2609800 3340544 4175680 4249600 4332268 5219600 5415335 6681088 8351360 8664536 10439200 10830670 13362176 16702720 17329072 20878400 21661340 26724352 27076675 33405440 34658144 41756800 43322680 54153350 66810880 69316288 83513600 86645360 108306700 133621760 138632576 167027200 173290720 216613400 277265152 334054400 346581440 433226800 554530304 668108800 693162880 866453600 1109060608 1386325760 1732907200 2218121216 2772651520 3465814400 5545303040 6931628800 11090606080 13863257600 27726515200 55453030400