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12973700238480 = 243356163974581
BaseRepresentation
bin1011110011001010110011…
…0010110100110010010000
31200221021101110212012212000
42330302230302310302100
53200030114230112410
643332011405234000
72506214246332002
oct274625462646220
950837343765760
1012973700238480
11415212a6196a3
121556481b62900
1373155109b657
1432bd051c0372
1517772081edc0
hexbccaccb4c90

12973700238480 has 160 divisors (see below), whose sum is σ = 44694486453120. Its totient is φ = 3459088488960.

The previous prime is 12973700238467. The next prime is 12973700238523. The reversal of 12973700238480 is 8483200737921.

12973700238480 is a `hidden beast` number, since 1 + 2 + 9 + 73 + 70 + 0 + 23 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12824790 + ... + 13799370.

It is an arithmetic number, because the mean of its divisors is an integer number (279340540332).

Almost surely, 212973700238480 is an apocalyptic number.

12973700238480 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 12973700238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347243226560).

12973700238480 is an abundant number, since it is smaller than the sum of its proper divisors (31720786214640).

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

12973700238480 is a wasteful number, since it uses less digits than its factorization.

12973700238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980766 (or 980754 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12973700238480 in words is "twelve trillion, nine hundred seventy-three billion, seven hundred million, two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6163 12326 18489 24652 30815 36978 49304 55467 61630 73956 92445 98608 110934 123260 147912 166401 184890 221868 246520 277335 295824 332802 369780 443736 493040 554670 665604 739560 832005 887472 974581 1109340 1331208 1479120 1664010 1949162 2218680 2662416 2923743 3328020 3898324 4437360 4872905 5847486 6656040 7796648 8771229 9745810 11694972 13312080 14618715 15593296 17542458 19491620 23389944 26313687 29237430 35084916 38983240 43856145 46779888 52627374 58474860 70169832 77966480 87712290 105254748 116949720 131568435 140339664 175424580 210509496 233899440 263136870 350849160 421018992 526273740 701698320 1052547480 2105094960 6006342703 12012685406 18019028109 24025370812 30031713515 36038056218 48050741624 54057084327 60063427030 72076112436 90095140545 96101483248 108114168654 120126854060 144152224872 162171252981 180190281090 216228337308 240253708120 270285421635 288304449744 324342505962 360380562180 432456674616 480507416240 540570843270 648685011924 720761124360 810856264905 864913349232 1081141686540 1297370023848 1441522248720 1621712529810 2162283373080 2594740047696 3243425059620 4324566746160 6486850119240 12973700238480