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61963000488 = 23331919378229
BaseRepresentation
bin111001101101010010…
…000101101010101000
312220221022022120012000
4321231102011222220
52003400012003423
644244310051000
74322333546124
oct715522055250
9186838276160
1061963000488
1124307553414
1210013349a60
135ac634b63c
142ddb47a584
151929c57843
hexe6d485aa8

61963000488 has 128 divisors (see below), whose sum is σ = 182119440000. Its totient is φ = 19465629696.

The previous prime is 61963000471. The next prime is 61963000513. The reversal of 61963000488 is 88400036916.

61963000488 is a `hidden beast` number, since 6 + 1 + 9 + 630 + 0 + 0 + 4 + 8 + 8 = 666.

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, 752958 + ... + 831186.

It is an arithmetic number, because the mean of its divisors is an integer number (1422808125).

Almost surely, 261963000488 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 61963000488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91059720000).

61963000488 is an abundant number, since it is smaller than the sum of its proper divisors (120156439512).

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

61963000488 is a wasteful number, since it uses less digits than its factorization.

61963000488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78456 (or 78446 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61963000488 in words is "sixty-one billion, nine hundred sixty-three million, four hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 193 216 228 342 386 456 513 579 684 772 1026 1158 1368 1544 1737 2052 2316 3474 3667 4104 4632 5211 6948 7334 10422 11001 13896 14668 20844 22002 29336 33003 41688 44004 66006 78229 88008 99009 132012 156458 198018 234687 264024 312916 396036 469374 625832 704061 792072 938748 1408122 1486351 1877496 2112183 2816244 2972702 4224366 4459053 5632488 5945404 8448732 8918106 11890808 13377159 15098197 16897464 17836212 26754318 30196394 35672424 40131477 45294591 53508636 60392788 80262954 90589182 107017272 120785576 135883773 160525908 181178364 271767546 286865743 321051816 362356728 407651319 543535092 573731486 815302638 860597229 1087070184 1147462972 1630605276 1721194458 2294925944 2581791687 3261210552 3442388916 5163583374 6884777832 7745375061 10327166748 15490750122 20654333496 30981500244 61963000488