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1160966331616 = 257132163188147
BaseRepresentation
bin10000111001001110111…
…111000101110011100000
311002222122201222022020211
4100321032333011303200
5123010124340102431
62245201321343504
7146606553665410
oct20711677056340
94088581868224
101160966331616
114083aa256323
12169005337b94
138562b7b4a00
1440296422640
15202ece842b1
hex10e4efc5ce0

1160966331616 has 144 divisors (see below), whose sum is σ = 2845935679104. Its totient is φ = 456463268352.

The previous prime is 1160966331611. The next prime is 1160966331647. The reversal of 1160966331616 is 6161336690611.

It is a self number, because there is not a number n which added to its sum of digits gives 1160966331616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160966331611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6076455 + ... + 6264601.

It is an arithmetic number, because the mean of its divisors is an integer number (19763442216).

Almost surely, 21160966331616 is an apocalyptic number.

1160966331616 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 1160966331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422967839552).

1160966331616 is an abundant number, since it is smaller than the sum of its proper divisors (1684969347488).

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

1160966331616 is a wasteful number, since it uses less digits than its factorization.

1160966331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188353 (or 188332 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 1160966331616 in words is "one trillion, one hundred sixty billion, nine hundred sixty-six million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 163 169 182 208 224 326 338 364 416 652 676 728 1141 1183 1304 1352 1456 2119 2282 2366 2608 2704 2912 4238 4564 4732 5216 5408 8476 9128 9464 14833 16952 18256 18928 27547 29666 33904 36512 37856 55094 59332 67808 110188 118664 188147 192829 220376 237328 376294 385658 440752 474656 752588 771316 881504 1317029 1505176 1542632 2445911 2634058 3010352 3085264 4891822 5268116 6020704 6170528 9783644 10536232 17121377 19567288 21072464 30667961 31796843 34242754 39134576 42144928 61335922 63593686 68485508 78269152 122671844 127187372 136971016 214675727 222577901 245343688 254374744 273942032 398683493 429351454 445155802 490687376 508749488 547884064 797366986 858702908 890311604 981374752 1017498976 1594733972 1717405816 1780623208 2790784451 3189467944 3434811632 3561246416 5182885409 5581568902 6378935888 6869623264 7122492832 10365770818 11163137804 12757871776 20731541636 22326275608 36280197863 41463083272 44652551216 72560395726 82926166544 89305102432 145120791452 165852333088 290241582904 580483165808 1160966331616