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640148341888 = 27116710763419
BaseRepresentation
bin10010101000010111101…
…00001000010010000000
32021012100001001010210201
421110023310020102000
540442010433420023
61210025144334544
764151321061316
oct11241364102200
92235301033721
10640148341888
11227538061040
12a4094474454
134849a67b023
1422daa4280b6
15119b98a7bad
hex950bd08480

640148341888 has 128 divisors (see below), whose sum is σ = 1425214828800. Its totient is φ = 283950289920.

The previous prime is 640148341871. The next prime is 640148341901. The reversal of 640148341888 is 888143841046.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10062243 + ... + 10125661.

It is an arithmetic number, because the mean of its divisors is an integer number (11134490850).

Almost surely, 2640148341888 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 640148341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712607414400).

640148341888 is an abundant number, since it is smaller than the sum of its proper divisors (785066486912).

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

640148341888 is a wasteful number, since it uses less digits than its factorization.

640148341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63618 (or 63606 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 55.

The spelling of 640148341888 in words is "six hundred forty billion, one hundred forty-eight million, three hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 107 128 134 176 214 268 352 428 536 704 737 856 1072 1177 1408 1474 1712 2144 2354 2948 3424 4288 4708 5896 6848 7169 8576 9416 11792 13696 14338 18832 23584 28676 37664 47168 57352 63419 75328 78859 94336 114704 126838 150656 157718 229408 253676 315436 458816 507352 630872 697609 917632 1014704 1261744 1395218 2029408 2523488 2790436 4058816 4249073 5046976 5580872 6785833 8117632 8498146 10093952 11161744 13571666 16996292 22323488 27143332 33992584 44646976 46739803 54286664 67985168 74644163 89293952 93479606 108573328 135970336 149288326 186959212 217146656 271940672 298576652 373918424 434293312 454650811 543881344 597153304 747836848 868586624 909301622 1194306608 1495673696 1818603244 2388613216 2991347392 3637206488 4777226432 5001158921 5982694784 7274412976 9554452864 10002317842 14548825952 20004635684 29097651904 40009271368 58195303808 80018542736 160037085472 320074170944 640148341888