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29997979796556 = 223219831015231623
BaseRepresentation
bin1101101001000011100101…
…11011100000010001001100
310221012210000210022210100100
412310201302323200101030
512412441330311442211
6143444514235131100
76214165622060232
oct664416273402114
9127183023283310
1029997979796556
119616087605332
1234459868a3a90
131397a49a3ccb5
14759ca4d52952
153704b2775156
hex1b4872ee044c

29997979796556 has 144 divisors (see below), whose sum is σ = 81580689066240. Its totient is φ = 9266248886400.

The previous prime is 29997979796531. The next prime is 29997979796563. The reversal of 29997979796556 is 65569797979992.

29997979796556 is a `hidden beast` number, since 299 + 9 + 7 + 97 + 97 + 96 + 5 + 56 = 666.

It is a super-2 number, since 2×299979797965562 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118161 + ... + 8349783.

It is an arithmetic number, because the mean of its divisors is an integer number (566532562960).

Almost surely, 229997979796556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29997979796556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40790344533120).

29997979796556 is an abundant number, since it is smaller than the sum of its proper divisors (51582709269684).

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

29997979796556 is a wasteful number, since it uses less digits than its factorization.

29997979796556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231836 (or 5231831 counting only the distinct ones).

The product of its digits is 328111673400, while the sum is 99.

The spelling of 29997979796556 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred seventy-nine million, seven hundred ninety-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 101 114 166 171 202 228 249 303 332 342 404 498 606 684 747 909 996 1212 1494 1577 1818 1919 2988 3154 3636 3838 4731 5757 6308 7676 8383 9462 11514 14193 16766 17271 18924 23028 25149 28386 33532 34542 50298 56772 69084 75447 100596 150894 159277 301788 318554 477831 637108 955662 1433493 1911324 2866986 5231623 5733972 10463246 15694869 20926492 31389738 47084607 62779476 94169214 99400837 188338428 198801674 298202511 397603348 434224709 528393923 596405022 868449418 894607533 1056787846 1192810044 1302674127 1585181769 1736898836 1789215066 2113575692 2605348254 3170363538 3578430132 3908022381 4755545307 5210696508 6340727076 7816044762 8250269471 9511090614 10039484537 15632089524 16500538942 19022181228 20078969074 24750808413 30118453611 33001077884 40157938148 43856695609 49501616826 60236907222 74252425239 87713391218 90355360833 99003233652 120473814444 131570086827 148504850478 175426782436 180710721666 263140173654 297009700956 361421443332 394710260481 526280347308 789420520962 833277216571 1578841041924 1666554433142 2499831649713 3333108866284 4999663299426 7499494949139 9999326598852 14998989898278 29997979796556