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60366006140 = 225117927712539
BaseRepresentation
bin111000001110000110…
…000010011101111100
312202211000021211210012
4320032012002131330
51442112144144030
643422021002352
74234632404666
oct701606023574
9182730254705
1060366006140
1123668044980
12b8485533b8
13590052897b
142cc9329536
15188494e095
hexe0e18277c

60366006140 has 96 divisors (see below), whose sum is σ = 140560358400. Its totient is φ = 21593445120.

The previous prime is 60366006137. The next prime is 60366006191. The reversal of 60366006140 is 4160066306.

It is a junction number, because it is equal to n+sod(n) for n = 60366006097 and 60366006106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4807991 + ... + 4820529.

It is an arithmetic number, because the mean of its divisors is an integer number (1464170400).

Almost surely, 260366006140 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 60366006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70280179200).

60366006140 is an abundant number, since it is smaller than the sum of its proper divisors (80194352260).

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

60366006140 is a wasteful number, since it uses less digits than its factorization.

60366006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12915 (or 12913 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 60366006140 in words is "sixty billion, three hundred sixty-six million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 277 316 395 554 790 869 1108 1385 1580 1738 2770 3047 3476 4345 5540 6094 8690 12188 12539 15235 17380 21883 25078 30470 43766 50156 60940 62695 87532 109415 125390 137929 218830 240713 250780 275858 437660 481426 551716 689645 962852 990581 1203565 1379290 1981162 2407130 2758580 3473303 3962324 4814260 4952905 6946606 9905810 10896391 13893212 17366515 19811620 21792782 34733030 38206333 43585564 54481955 69466060 76412666 108963910 152825332 191031665 217927820 274390937 382063330 548781874 764126660 1097563748 1371954685 2743909370 3018300307 5487818740 6036600614 12073201228 15091501535 30183003070 60366006140