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55025014400 = 2752130113217
BaseRepresentation
bin110011001111101111…
…110001011010000000
312021000210021100111022
4303033233301122000
51400142400430100
641140025005012
73655366622336
oct631757613200
9167023240438
1055025014400
1121377205814
12a7b7923768
13525bb49225
14293dc63b56
151670adce85
hexccfbf1680

55025014400 has 96 divisors (see below), whose sum is σ = 136043753580. Its totient is φ = 21991424000.

The previous prime is 55025014339. The next prime is 55025014403. The reversal of 55025014400 is 441052055.

It can be written as a sum of positive squares in 6 ways, for example, as 2686556224 + 52338458176 = 51832^2 + 228776^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55025014400.

It is not an unprimeable number, because it can be changed into a prime (55025014403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156592 + ... + 4169808.

Almost surely, 255025014400 is an apocalyptic number.

55025014400 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 55025014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68021876790).

55025014400 is an abundant number, since it is smaller than the sum of its proper divisors (81018739180).

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

55025014400 is a wasteful number, since it uses less digits than its factorization.

55025014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14542 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 55025014400 its reverse (441052055), we get a palindrome (55466066455).

The spelling of 55025014400 in words is "fifty-five billion, twenty-five million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1301 1600 2602 3200 5204 6505 10408 13010 13217 20816 26020 26434 32525 41632 52040 52868 65050 66085 83264 104080 105736 130100 132170 166528 208160 211472 260200 264340 330425 416320 422944 520400 528680 660850 832640 845888 1040800 1057360 1321700 1691776 2081600 2114720 2643400 4163200 4229440 5286800 8458880 10573600 17195317 21147200 34390634 42294400 68781268 85976585 137562536 171953170 275125072 343906340 429882925 550250144 687812680 859765850 1100500288 1375625360 1719531700 2201000576 2751250720 3439063400 5502501440 6878126800 11005002880 13756253600 27512507200 55025014400