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128375231616 = 2733103360637
BaseRepresentation
bin111011110001111000…
…0101001010010000000
3110021100200122110102000
41313203300221102000
54100403024402431
6134550314424000
712163154315202
oct1674360512200
9407320573360
10128375231616
114a497520645
1220a68732000
13c14b3a9118
1462db7a8772
1535153c09e6
hex1de3c29480

128375231616 has 128 divisors (see below), whose sum is σ = 382564790400. Its totient is φ = 42376172544.

The previous prime is 128375231591. The next prime is 128375231617. The reversal of 128375231616 is 616132573821.

It is a happy number.

128375231616 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 7 + 5 + 23 + 1 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128375231617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175650 + ... + 536286.

It is an arithmetic number, because the mean of its divisors is an integer number (2988787425).

Almost surely, 2128375231616 is an apocalyptic number.

128375231616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128375231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191282395200).

128375231616 is an abundant number, since it is smaller than the sum of its proper divisors (254189558784).

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

128375231616 is a wasteful number, since it uses less digits than its factorization.

128375231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360763 (or 360745 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 128375231616 in words is "one hundred twenty-eight billion, three hundred seventy-five million, two hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 288 309 384 412 432 576 618 824 864 927 1152 1236 1648 1728 1854 2472 2781 3296 3456 3708 4944 5562 6592 7416 9888 11124 13184 14832 19776 22248 29664 39552 44496 59328 88992 118656 177984 355968 360637 721274 1081911 1442548 2163822 2885096 3245733 4327644 5770192 6491466 8655288 9737199 11540384 12982932 17310576 19474398 23080768 25965864 34621152 37145611 38948796 46161536 51931728 69242304 74291222 77897592 103863456 111436833 138484608 148582444 155795184 207726912 222873666 297164888 311590368 334310499 415453824 445747332 594329776 623180736 668620998 891494664 1002931497 1188659552 1246361472 1337241996 1782989328 2005862994 2377319104 2674483992 3565978656 4011725988 4754638208 5348967984 7131957312 8023451976 10697935968 14263914624 16046903952 21395871936 32093807904 42791743872 64187615808 128375231616