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54012224322 = 23271726993739
BaseRepresentation
bin110010010011011000…
…010010001101000010
312011102012112021200200
4302103120102031002
51341104112134242
640451325230030
73621321221520
oct622330221502
9164365467620
1054012224322
11209a7546621
12a574702316
13512a081564
142885547310
151611c3204c
hexc93612342

54012224322 has 96 divisors (see below), whose sum is σ = 142139836800. Its totient is φ = 14470147584.

The previous prime is 54012224309. The next prime is 54012224323. The reversal of 54012224322 is 22342221045.

54012224322 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 222 + 432 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (54012224323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529329 + ... + 623067.

It is an arithmetic number, because the mean of its divisors is an integer number (1480623300).

Almost surely, 254012224322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54012224322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71069918400).

54012224322 is an abundant number, since it is smaller than the sum of its proper divisors (88127612478).

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

54012224322 is a wasteful number, since it uses less digits than its factorization.

54012224322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94040 (or 94037 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 54012224322 its reverse (22342221045), we get a palindrome (76354445367).

The spelling of 54012224322 in words is "fifty-four billion, twelve million, two hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 269 306 357 538 714 807 1071 1614 1883 2142 2421 3766 4573 4842 5649 9146 11298 13719 16947 27438 32011 33894 41157 64022 82314 93739 96033 187478 192066 281217 288099 562434 576198 656173 843651 1312346 1593563 1687302 1968519 3187126 3937038 4780689 5905557 9561378 11154941 11811114 14342067 22309882 25215791 28684134 33464823 50431582 66929646 75647373 100394469 151294746 176510537 200788938 226942119 353021074 428668447 453884238 529531611 857336894 1059063222 1286005341 1588594833 2572010682 3000679129 3177189666 3858016023 6001358258 7716032046 9002037387 18004074774 27006112161 54012224322