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661251412260 = 2232543683312503
BaseRepresentation
bin10011001111101011010…
…01111101000100100100
32100012210202012012010200
421213311221331010210
541313220330143020
61223435200350500
765526266156655
oct11476551750444
92305722165120
10661251412260
1123548720216a
12a81a3915430
134a48174000a
142400d00b52c
15123023b4590
hex99f5a7d124

661251412260 has 144 divisors (see below), whose sum is σ = 2052906920064. Its totient is φ = 172193946624.

The previous prime is 661251412259. The next prime is 661251412277. The reversal of 661251412260 is 62214152166.

661251412260 is a `hidden beast` number, since 6 + 6 + 12 + 514 + 122 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 52881169 + ... + 52893671.

It is an arithmetic number, because the mean of its divisors is an integer number (14256298056).

Almost surely, 2661251412260 is an apocalyptic number.

661251412260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661251412260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026453460032).

661251412260 is an abundant number, since it is smaller than the sum of its proper divisors (1391655507804).

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

661251412260 is a wasteful number, since it uses less digits than its factorization.

661251412260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19394 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 661251412260 in words is "six hundred sixty-one billion, two hundred fifty-one million, four hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 6833 7740 12503 13666 20499 25006 27332 34165 37509 40998 50012 61497 62515 68330 75018 81996 102495 112527 122994 125030 136660 150036 187545 204990 225054 245988 250060 293819 307485 375090 409980 450108 537629 562635 587638 614970 750180 881457 1075258 1125270 1175276 1229940 1469095 1612887 1762914 2150516 2250540 2644371 2688145 2938190 3225774 3525828 4407285 4838661 5288742 5376290 5876380 6451548 8064435 8814570 9677322 10577484 10752580 13221855 16128870 17629140 19354644 24193305 26443710 32257740 48386610 52887420 85432999 96773220 170865998 256298997 341731996 427164995 512597994 768896991 854329990 1025195988 1281494985 1537793982 1708659980 2562989970 3075587964 3673618957 3844484955 5125979940 7347237914 7688969910 11020856871 14694475828 15377939820 18368094785 22041713742 33062570613 36736189570 44083427484 55104284355 66125141226 73472379140 110208568710 132250282452 165312853065 220417137420 330625706130 661251412260