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54052105530 = 23543179234083
BaseRepresentation
bin110010010101110000…
…011010110100111010
312011111222120110102110
4302111300122310322
51341144314334110
640455312113150
73622314213333
oct622560326472
9164458513373
1054052105530
1120a180059a5
12a585b357b6
135135405cc7
14288a96928a
1516154ada20
hexc95c1ad3a

54052105530 has 64 divisors (see below), whose sum is σ = 133484060160. Its totient is φ = 13999976256.

The previous prime is 54052105463. The next prime is 54052105567. The reversal of 54052105530 is 3550125045.

It is a happy number.

54052105530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540521055302 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113869 + ... + 347951.

It is an arithmetic number, because the mean of its divisors is an integer number (2085688440).

Almost surely, 254052105530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54052105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66742030080).

54052105530 is an abundant number, since it is smaller than the sum of its proper divisors (79431954630).

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

54052105530 is a wasteful number, since it uses less digits than its factorization.

54052105530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234315.

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 54052105530 in words is "fifty-four billion, fifty-two million, one hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 1074 1290 1790 2685 5370 7697 15394 23091 38485 46182 76970 115455 230910 234083 468166 702249 1170415 1404498 2340830 3511245 7022490 10065569 20131138 30196707 41900857 50327845 60393414 83801714 100655690 125702571 150983535 209504285 251405142 301967070 419008570 628512855 1257025710 1801736851 3603473702 5405210553 9008684255 10810421106 18017368510 27026052765 54052105530