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55023052400 = 24525313611907
BaseRepresentation
bin110011001111101000…
…010010011001110000
312021000122120200010122
4303033220102121300
51400141400134100
641135514545412
73655344141251
oct631750223160
9167018520118
1055023052400
1121376095728
12a7b7138268
13525b610194
14293d8b2b28
151670851985
hexccfa12670

55023052400 has 120 divisors (see below), whose sum is σ = 134856730224. Its totient is φ = 21566771200.

The previous prime is 55023052391. The next prime is 55023052417. The reversal of 55023052400 is 425032055.

It is a self number, because there is not a number n which added to its sum of digits gives 55023052400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28852247 + ... + 28854153.

Almost surely, 255023052400 is an apocalyptic number.

55023052400 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 55023052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67428365112).

55023052400 is an abundant number, since it is smaller than the sum of its proper divisors (79833677824).

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

55023052400 is a wasteful number, since it uses less digits than its factorization.

55023052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

Adding to 55023052400 its reverse (425032055), we get a palindrome (55448084455).

The spelling of 55023052400 in words is "fifty-five billion, twenty-three million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 1361 1907 2120 2650 2722 3814 4240 5300 5444 6805 7628 9535 10600 10888 13610 15256 19070 21200 21776 27220 30512 34025 38140 47675 54440 68050 72133 76280 95350 101071 108880 136100 144266 152560 190700 202142 272200 288532 360665 381400 404284 505355 544400 577064 721330 762800 808568 1010710 1154128 1442660 1617136 1803325 2021420 2526775 2595427 2885320 3606650 4042840 5053550 5190854 5770640 7213300 8085680 10107100 10381708 12977135 14426600 20214200 20763416 25954270 28853200 40428400 41526832 51908540 64885675 103817080 129771350 137557631 207634160 259542700 275115262 519085400 550230524 687788155 1038170800 1100461048 1375576310 2200922096 2751152620 3438940775 5502305240 6877881550 11004610480 13755763100 27511526200 55023052400