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67314957084 = 223259671992377
BaseRepresentation
bin111110101100010010…
…001011101100011100
320102202021222010102200
4332230102023230130
52100330112111314
650531333051500
74602061460124
oct765422135434
9212667863380
1067314957084
11266035a1641
1211067786b90
13646a099b6b
143388197c84
151b3ea32709
hexfac48bb1c

67314957084 has 144 divisors (see below), whose sum is σ = 176580768000. Its totient is φ = 21610499328.

The previous prime is 67314957019. The next prime is 67314957109. The reversal of 67314957084 is 48075941376.

67314957084 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 495 + 70 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67314957084.

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 47 ways as a sum of consecutive naturals, for example, 28318104 + ... + 28320480.

Almost surely, 267314957084 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 67314957084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88290384000).

67314957084 is an abundant number, since it is smaller than the sum of its proper divisors (109265810916).

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

67314957084 is a wasteful number, since it uses less digits than its factorization.

67314957084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 67314957084 in words is "sixty-seven billion, three hundred fourteen million, nine hundred fifty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 67 118 134 177 199 201 236 268 354 398 402 531 597 603 708 796 804 1062 1194 1206 1791 2124 2377 2388 2412 3582 3953 4754 7131 7164 7906 9508 11741 11859 13333 14262 15812 21393 23482 23718 26666 28524 35223 35577 39999 42786 46964 47436 53332 70446 71154 79998 85572 105669 119997 140243 140892 142308 159259 159996 211338 239994 280486 318518 420729 422676 473023 477777 479988 560972 637036 786647 841458 946046 955554 1262187 1419069 1433331 1573294 1682916 1892092 1911108 2359941 2524374 2838138 2866662 3146588 4257207 4719882 5048748 5676276 5733324 7079823 8514414 9396281 9439764 14159646 17028828 18792562 27908357 28188843 28319292 31692541 37585124 55816714 56377686 63385082 83725071 84566529 95077623 111633428 112755372 126770164 167450142 169133058 190155246 251175213 285232869 334900284 338266116 380310492 502350426 570465738 1004700852 1140931476 1869859919 3739719838 5609579757 7479439676 11219159514 16828739271 22438319028 33657478542 67314957084