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1987446067632 = 243331148405471
BaseRepresentation
bin11100111010111101000…
…001000101000110110000
321000222221112102000021000
4130322331001011012300
5230030242143131012
64121004202402000
7263405523561114
oct34727501050660
97028845360230
101987446067632
116a6964546673
1228121b800300
1311555271351c
146c29b47b744
1536a70cddddc
hex1cebd0451b0

1987446067632 has 80 divisors (see below), whose sum is σ = 5888729128960. Its totient is φ = 641111630400.

The previous prime is 1987446067583. The next prime is 1987446067637. The reversal of 1987446067632 is 2367606447891.

It is a happy number.

1987446067632 is a `hidden beast` number, since 1 + 9 + 8 + 74 + 460 + 6 + 76 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1987446067632.

It is not an unprimeable number, because it can be changed into a prime (1987446067637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74189344 + ... + 74216127.

It is an arithmetic number, because the mean of its divisors is an integer number (73609114112).

Almost surely, 21987446067632 is an apocalyptic number.

1987446067632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1987446067632 is an abundant number, since it is smaller than the sum of its proper divisors (3901283061328).

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

1987446067632 is a wasteful number, since it uses less digits than its factorization.

1987446067632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148405519 (or 148405507 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1987446067632 in words is "one trillion, nine hundred eighty-seven billion, four hundred forty-six million, sixty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 148405471 296810942 445216413 593621884 890432826 1187243768 1335649239 1780865652 2374487536 2671298478 3561731304 4006947717 4600569601 5342596956 7123462608 8013895434 9201139202 10685193912 13801708803 16027790868 18402278404 21370387824 27603417606 32055581736 36804556808 41405126409 55206835212 64111163472 73609113616 82810252818 110413670424 124215379227 165620505636 220827340848 248430758454 331241011272 496861516908 662482022544 993723033816 1987446067632