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54676334196576 = 2533199318003991
BaseRepresentation
bin11000110111010010100110…
…11110100011011101100000
321011121000011201221222122000
430123221103132203131200
524131304113023242301
6312141543340244000
714342143350304311
oct1433512336433540
9234530151858560
1054676334196576
1116470115276a24
126170781840600
132467c579a1261
14d704c4b68608
1564c3cc1e7786
hex31ba537a3760

54676334196576 has 96 divisors (see below), whose sum is σ = 160274011968000. Its totient is φ = 18133859525760.

The previous prime is 54676334196557. The next prime is 54676334196577. The reversal of 54676334196576 is 67569143367645.

54676334196576 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 6 + 3 + 3 + 41 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×546763341965762 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54676334196577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158830060 + ... + 159173931.

It is an arithmetic number, because the mean of its divisors is an integer number (1669520958000).

Almost surely, 254676334196576 is an apocalyptic number.

It is an amenable number.

54676334196576 is an abundant number, since it is smaller than the sum of its proper divisors (105597677771424).

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

54676334196576 is a wasteful number, since it uses less digits than its factorization.

54676334196576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318004209 (or 318004195 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 54676334196576 in words is "fifty-four trillion, six hundred seventy-six billion, three hundred thirty-four million, one hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 1194 1592 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 14328 19104 21492 28656 42984 57312 85968 171936 318003991 636007982 954011973 1272015964 1908023946 2544031928 2862035919 3816047892 5088063856 5724071838 7632095784 8586107757 10176127712 11448143676 15264191568 17172215514 22896287352 30528383136 34344431028 45792574704 63282794209 68688862056 91585149408 126565588418 137377724112 189848382627 253131176836 274755448224 379696765254 506262353672 569545147881 759393530508 1012524707344 1139090295762 1518787061016 1708635443643 2025049414688 2278180591524 3037574122032 3417270887286 4556361183048 6075148244064 6834541774572 9112722366096 13669083549144 18225444732192 27338167098288 54676334196576