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68370223584 = 25313215232767
BaseRepresentation
bin111111101011001011…
…101101000111100000
320112110211122012221010
4333223023231013200
52110010234123314
651224151100520
74640164211625
oct775313550740
9215424565833
1068370223584
1126aa5232a13
1211301071740
1365a78b7600
1434483b034c
151ba24ce059
hexfeb2ed1e0

68370223584 has 144 divisors (see below), whose sum is σ = 194537210112. Its totient is φ = 21015581184.

The previous prime is 68370223583. The next prime is 68370223627. The reversal of 68370223584 is 48532207386.

It is a happy number.

It is a super-2 number, since 2×683702235842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68370223583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24707769 + ... + 24710535.

It is an arithmetic number, because the mean of its divisors is an integer number (1350952848).

Almost surely, 268370223584 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 68370223584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97268605056).

68370223584 is an abundant number, since it is smaller than the sum of its proper divisors (126166986528).

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

68370223584 is a wasteful number, since it uses less digits than its factorization.

68370223584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 68370223584 in words is "sixty-eight billion, three hundred seventy million, two hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 1523 2028 2704 2767 3046 4056 4569 5408 5534 6092 8112 8301 9138 11068 12184 16224 16602 18276 19799 22136 24368 33204 35971 36552 39598 44272 48736 59397 66408 71942 73104 79196 88544 107913 118794 132816 143884 146208 158392 215826 237588 257387 265632 287768 316784 431652 467623 475176 514774 575536 633568 772161 863304 935246 950352 1029548 1151072 1402869 1544322 1726608 1870492 1900704 2059096 2805738 3088644 3453216 3740984 4118192 4214141 5611476 6177288 7481968 8236384 8428282 11222952 12354576 12642423 14963936 16856564 22445904 24709152 25284846 33713128 44891808 50569692 54783833 67426256 101139384 109567666 134852512 164351499 202278768 219135332 328702998 404557536 438270664 657405996 712189829 876541328 1314811992 1424379658 1753082656 2136569487 2629623984 2848759316 4273138974 5259247968 5697518632 8546277948 11395037264 17092555896 22790074528 34185111792 68370223584