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241668593604 = 22343128812
BaseRepresentation
bin1110000100010010010…
…0100001011111000100
3212002210022002120010000
43201010210201133010
512424414124443404
6303004312401300
723313526103124
oct3410444413704
9762708076100
10241668593604
1193544691319
123aa063a6230
1319a34ca2b19
14b9a811ac84
1564466a9339
hex38449217c4

241668593604 has 135 divisors (see below), whose sum is σ = 653548333053. Its totient is φ = 77869123200.

The previous prime is 241668593599. The next prime is 241668593641. The reversal of 241668593604 is 406395866142.

The square root of 241668593604 is 491598.

It is a perfect power (a square), and thus also a powerful number.

241668593604 is a `hidden beast` number, since 2 + 41 + 6 + 6 + 8 + 593 + 6 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42395633604 + 199272960000 = 205902^2 + 446400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 274311244 + ... + 274312124.

Almost surely, 2241668593604 is an apocalyptic number.

241668593604 is the 491598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241668593604

241668593604 is an abundant number, since it is smaller than the sum of its proper divisors (411879739449).

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

241668593604 is an frugal number, since it uses more digits than its factorization.

241668593604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 241668593604 in words is "two hundred forty-one billion, six hundred sixty-eight million, five hundred ninety-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 881 961 1116 1674 1762 1922 2511 2643 2883 3348 3524 3844 5022 5286 5766 7929 8649 10044 10572 11532 15858 17298 23787 25947 27311 31716 34596 47574 51894 54622 71361 77841 81933 95148 103788 109244 142722 155682 163866 245799 285444 311364 327732 491598 737397 776161 846641 983196 1474794 1552322 1693282 2212191 2328483 2539923 2949588 3104644 3386564 4424382 4656966 5079846 6985449 7619769 8848764 9313932 10159692 13970898 15239538 20956347 22859307 24060991 27941796 30479076 41912694 45718614 48121982 62869041 68577921 72182973 83825388 91437228 96243964 125738082 137155842 144365946 216548919 251476164 274311684 288731892 433097838 649646757 745890721 866195676 1299293514 1491781442 1948940271 2237672163 2598587028 2983562884 3897880542 4475344326 6713016489 7795761084 8950688652 13426032978 20139049467 26852065956 40278098934 60417148401 80556197868 120834296802 241668593604