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54040442200 = 23521924159009
BaseRepresentation
bin110010010101000011…
…111011010101011000
312011111011121220100021
4302111003323111120
51341133323122300
640454214120224
73622113115423
oct622503732530
9164434556307
1054040442200
1120a1146a088
12a582050074
135132b81324
1428891b09ba
151614457d1a
hexc950fb558

54040442200 has 96 divisors (see below), whose sum is σ = 132807906000. Its totient is φ = 20393164800.

The previous prime is 54040442171. The next prime is 54040442213. The reversal of 54040442200 is 224404045.

It is a happy number.

54040442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886296 + ... + 945304.

Almost surely, 254040442200 is an apocalyptic number.

54040442200 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 54040442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66403953000).

54040442200 is an abundant number, since it is smaller than the sum of its proper divisors (78767463800).

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

54040442200 is a wasteful number, since it uses less digits than its factorization.

54040442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59285 (or 59276 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 54040442200 its reverse (224404045), we get a palindrome (54264846245).

The spelling of 54040442200 in words is "fifty-four billion, forty million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 241 380 475 482 760 950 964 1205 1900 1928 2410 3800 4579 4820 6025 9158 9640 12050 18316 22895 24100 36632 45790 48200 59009 91580 114475 118018 183160 228950 236036 295045 457900 472072 590090 915800 1121171 1180180 1475225 2242342 2360360 2950450 4484684 5605855 5900900 8969368 11211710 11801800 14221169 22423420 28029275 28442338 44846840 56058550 56884676 71105845 112117100 113769352 142211690 224234200 270202211 284423380 355529225 540404422 568846760 711058450 1080808844 1351011055 1422116900 2161617688 2702022110 2844233800 5404044220 6755055275 10808088440 13510110550 27020221100 54040442200