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13446489680 = 24513372231567
BaseRepresentation
bin11001000010111100…
…10010011001010000
31021201002221110011022
430201132102121100
5210014300132210
610102140535012
7654134163551
oct144136223120
937632843138
1013446489680
115780213798
122733251468
131363a3c990
14917b92328
1553a74a155
hex321792650

13446489680 has 160 divisors (see below), whose sum is σ = 34755108864. Its totient is φ = 4805941248.

The previous prime is 13446489671. The next prime is 13446489733. The reversal of 13446489680 is 8698464431.

It is a Cunningham number, because it is equal to 1159592-1.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8580257 + ... + 8581823.

Almost surely, 213446489680 is an apocalyptic number.

13446489680 is a gapful number since it is divisible by the number (10) 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 13446489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377554432).

13446489680 is an abundant number, since it is smaller than the sum of its proper divisors (21308619184).

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

13446489680 is a wasteful number, since it uses less digits than its factorization.

13446489680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 13446489680 in words is "thirteen billion, four hundred forty-six million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 223 260 296 370 446 481 520 592 740 892 962 1040 1115 1480 1567 1784 1924 2230 2405 2899 2960 3134 3568 3848 4460 4810 5798 6268 7696 7835 8251 8920 9620 11596 12536 14495 15670 16502 17840 19240 20371 23192 25072 28990 31340 33004 38480 40742 41255 46384 57979 57980 62680 66008 81484 82510 101855 107263 115958 115960 125360 132016 162968 165020 203710 214526 231916 231920 289895 325936 330040 349441 407420 429052 463832 536315 579790 660080 698882 753727 814840 858104 927664 1072630 1159580 1397764 1507454 1629680 1716208 1747205 2145260 2319160 2795528 3014908 3494410 3768635 4290520 4542733 4638320 5591056 6029816 6988820 7537270 8581040 9085466 12059632 12929317 13977640 15074540 18170932 22713665 25858634 27955280 30149080 36341864 45427330 51717268 60298160 64646585 72683728 90854660 103434536 129293170 168081121 181709320 206869072 258586340 336162242 363418640 517172680 672324484 840405605 1034345360 1344648968 1680811210 2689297936 3361622420 6723244840 13446489680