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661555505512 = 231121779750441
BaseRepresentation
bin10011010000001111100…
…01111110100101101000
32100020120221101201122201
421220013301332211220
541314331202134022
61223525302225544
765536651005136
oct11500761764550
92306527351581
10661555505512
11235622921a00
12a82697252b4
134a4cc741c55
142403b568756
151231de31127
hex9a07c7e968

661555505512 has 96 divisors (see below), whose sum is σ = 1445475031560. Its totient is φ = 282657689600.

The previous prime is 661555505477. The next prime is 661555505531. The reversal of 661555505512 is 215505555166.

661555505512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 660556060516 + 999444996 = 812746^2 + 31614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13090212 + ... + 13140652.

Almost surely, 2661555505512 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 661555505512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722737515780).

661555505512 is an abundant number, since it is smaller than the sum of its proper divisors (783919526048).

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

661555505512 is a wasteful number, since it uses less digits than its factorization.

661555505512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51283 (or 51268 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 46.

The spelling of 661555505512 in words is "six hundred sixty-one billion, five hundred fifty-five million, five hundred five thousand, five hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 797 968 1496 1594 2057 3188 4114 6376 8228 8767 13549 16456 17534 27098 35068 50441 54196 70136 96437 100882 108392 149039 192874 201764 298078 385748 403528 554851 596156 771496 857497 1109702 1192312 1639429 1714994 2219404 3278858 3429988 4438808 6103361 6557716 6859976 9432467 12206722 13115432 18864934 24413444 37729868 40201477 48826888 75459736 80402954 103757137 160805908 207514274 321611816 415028548 442216247 683425109 830057096 884432494 1366850218 1768864988 2733700436 3537729976 4864378717 5467400872 7517676199 9728757434 15035352398 19457514868 30070704796 38915029736 60141409592 82694438189 165388876378 330777752756 661555505512