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54994462226616 = 233113158271115319
BaseRepresentation
bin11001000000100011001010…
…11000101011100010111000
321012201102022121222100121010
430200101211120223202320
524202012124312222431
6312544035052113520
714404135020036333
oct1440214530534270
9235642277870533
1054994462226616
1116583025251530
1262023661658a0
13248bc56409353
14d81a6370361a
156557eb0ee846
hex32046562b8b8

54994462226616 has 128 divisors (see below), whose sum is σ = 154827119001600. Its totient is φ = 16126991664000.

The previous prime is 54994462226591. The next prime is 54994462226623. The reversal of 54994462226616 is 61662226449945.

It is a happy number.

It is a super-2 number, since 2×549944622266162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 476832205 + ... + 476947523.

It is an arithmetic number, because the mean of its divisors is an integer number (1209586867200).

Almost surely, 254994462226616 is an apocalyptic number.

It is an amenable number.

54994462226616 is an abundant number, since it is smaller than the sum of its proper divisors (99832656774984).

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

54994462226616 is a wasteful number, since it uses less digits than its factorization.

54994462226616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173641 (or 173637 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 66.

The spelling of 54994462226616 in words is "fifty-four trillion, nine hundred ninety-four billion, four hundred sixty-two million, two hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 58271 115319 116542 174813 230638 233084 345957 349626 461276 466168 640981 691914 699252 922552 1268509 1281962 1383828 1398504 1806401 1922943 2537018 2563924 2767656 3574889 3612802 3805527 3845886 5074036 5127848 5419203 7149778 7225604 7611054 7691772 10148072 10724667 10838406 14299556 14451208 15222108 15383544 19870411 21449334 21676812 28599112 30444216 39323779 39740822 42898668 43353624 59611233 78647558 79481644 85797336 117971337 119222466 157295116 158963288 235942674 238444932 314590232 471885348 476889864 943770696 6719753449 13439506898 20159260347 26879013796 40318520694 53758027592 73917287939 80637041388 147834575878 161274082776 208312356919 221751863817 295669151756 416624713838 443503727634 591338303512 624937070757 833249427676 887007455268 1249874141514 1666498855352 1774014910536 2291435926109 2499748283028 4582871852218 4999496566056 6874307778327 9165743704436 13748615556654 18331487408872 27497231113308 54994462226616