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67106231472 = 2437279361159
BaseRepresentation
bin111110011111110101…
…111101010010110000
320102012202012202201110
4332133311331102300
52044413143401342
650454515233320
74563645361500
oct763765752260
9212182182643
1067106231472
1126506799a35
12110098a8840
136435a79097
143368583a00
151b2b552c9c
hexf9fd7d4b0

67106231472 has 120 divisors (see below), whose sum is σ = 204214310400. Its totient is φ = 18930457728.

The previous prime is 67106231471. The next prime is 67106231509. The reversal of 67106231472 is 27413260176.

It is a self number, because there is not a number n which added to its sum of digits gives 67106231472.

It is not an unprimeable number, because it can be changed into a prime (67106231471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5229 + ... + 366387.

It is an arithmetic number, because the mean of its divisors is an integer number (1701785920).

Almost surely, 267106231472 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 67106231472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102107155200).

67106231472 is an abundant number, since it is smaller than the sum of its proper divisors (137108078928).

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

67106231472 is a wasteful number, since it uses less digits than its factorization.

67106231472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361263 (or 361250 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 67106231472 in words is "sixty-seven billion, one hundred six million, two hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 13272 15484 23226 26544 30968 46452 61936 92904 185808 361159 722318 1083477 1444636 2166954 2528113 2889272 4333908 5056226 5778544 7584339 8667816 10112452 15168678 17335632 17696791 20224904 28531561 30337356 35393582 40449808 53090373 57063122 60674712 70787164 85594683 106180746 114126244 121349424 141574328 171189366 199720927 212361492 228252488 283148656 342378732 399441854 424722984 456504976 599162781 684757464 798883708 849445968 1198325562 1369514928 1398046489 1597767416 2396651124 2796092978 3195534832 4194139467 4793302248 5592185956 8388278934 9586604496 11184371912 16776557868 22368743824 33553115736 67106231472