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54933130060032 = 2837101101170457
BaseRepresentation
bin11000111110110000111011…
…01101000010000100000000
321012111120000021200110211210
430133120131231002010000
524200011022243410112
6312455533115010120
714366534113160130
oct1437303555020400
9235446007613753
1054933130060032
111655a0118a6a54
1261b24aa139940
132486230991013
14d7cac5d58ac0
15653e0b955b3c
hex31f61db42100

54933130060032 has 144 divisors (see below), whose sum is σ = 168742611580032. Its totient is φ = 15539782041600.

The previous prime is 54933130059949. The next prime is 54933130060033. The reversal of 54933130060032 is 23006003133945.

It is not an unprimeable number, because it can be changed into a prime (54933130060033) 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 15 ways as a sum of consecutive naturals, for example, 50042253 + ... + 51128204.

It is an arithmetic number, because the mean of its divisors is an integer number (1171823691528).

Almost surely, 254933130060032 is an apocalyptic number.

It is an amenable number.

54933130060032 is an abundant number, since it is smaller than the sum of its proper divisors (113809481520000).

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

54933130060032 is a wasteful number, since it uses less digits than its factorization.

54933130060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101170584 (or 101170570 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 39.

Adding to 54933130060032 its reverse (23006003133945), we get a palindrome (77939133193977).

The spelling of 54933130060032 in words is "fifty-four trillion, nine hundred thirty-three billion, one hundred thirty million, sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 606 672 707 768 808 896 1212 1344 1414 1616 1792 2121 2424 2688 2828 3232 4242 4848 5376 5656 6464 8484 9696 11312 12928 16968 19392 22624 25856 33936 38784 45248 67872 77568 90496 135744 180992 271488 542976 101170457 202340914 303511371 404681828 607022742 708193199 809363656 1214045484 1416386398 1618727312 2124579597 2428090968 2832772796 3237454624 4249159194 4856181936 5665545592 6474909248 8498318388 9712363872 10218216157 11331091184 12949818496 16996636776 19424727744 20436432314 22662182368 25899636992 30654648471 33993273552 38849455488 40872864628 45324364736 61309296942 67986547104 71527513099 77698910976 81745729256 90648729472 122618593884 135973094208 143055026198 163491458512 181297458944 214582539297 245237187768 271946188416 286110052396 326982917024 429165078594 490474375536 543892376832 572220104792 653965834048 858330157188 980948751072 1144440209584 1307931668096 1716660314376 1961897502144 2288880419168 2615863336192 3433320628752 3923795004288 4577760838336 6866641257504 7847590008576 9155521676672 13733282515008 18311043353344 27466565030016 54933130060032