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1350078664 = 231117832131
BaseRepresentation
bin101000001111000…
…1001000011001000
310111002102002202111
41100132021003020
510231110004124
6341544512104
745312323254
oct12036110310
93432362674
101350078664
116330a20a0
1231817b634
1318692011c
14cb439264
157d7d3494
hex507890c8

1350078664 has 96 divisors (see below), whose sum is σ = 2982212640. Its totient is φ = 566259200.

The previous prime is 1350078643. The next prime is 1350078671. The reversal of 1350078664 is 4668700531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10305879 + ... + 10306009.

It is an arithmetic number, because the mean of its divisors is an integer number (31064715).

Almost surely, 21350078664 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 1350078664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491106320).

1350078664 is an abundant number, since it is smaller than the sum of its proper divisors (1632133976).

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

1350078664 is a wasteful number, since it uses less digits than its factorization.

1350078664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1350078664 is about 36743.4166076047. The cubic root of 1350078664 is about 1105.2309158903.

The spelling of 1350078664 in words is "one billion, three hundred fifty million, seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 83 88 131 136 166 187 262 332 374 524 664 748 913 1048 1411 1441 1496 1826 2227 2822 2882 3652 4454 5644 5764 6889 7304 8908 10873 11288 11528 13778 15521 17816 21746 24497 27556 31042 43492 48994 55112 62084 75779 86984 97988 117113 119603 124168 151558 184841 195976 234226 239206 303116 369682 468452 478412 606232 739364 902459 936904 956824 1288243 1478728 1804918 2033251 2576486 3609836 4066502 5152972 7219672 8133004 9927049 10305944 15341803 16266008 19854098 30683606 39708196 61367212 79416392 122734424 168759833 337519666 675039332 1350078664