Search a number
-
+
12373107978456 = 23321492707426061
BaseRepresentation
bin1011010000001101011010…
…1101001011000011011000
31121210212011011120020100100
42310003112231023003120
53110210111120302311
642152043300535400
72414633102342241
oct264032655130330
947725134506310
1012373107978456
113a40450984405
121479ba89b1560
136b9a18825534
1430ac0c409cc8
15166cbd9b2a56
hexb40d6b4b0d8

12373107978456 has 96 divisors (see below), whose sum is σ = 33747944958000. Its totient is φ = 4095166014720.

The previous prime is 12373107978409. The next prime is 12373107978463. The reversal of 12373107978456 is 65487970137321.

12373107978456 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 3 + 107 + 9 + 78 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12373107978393 and 12373107978402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28827666 + ... + 29253726.

It is a 1-persistent number, because it is pandigital, but 2⋅12373107978456 = 24746215956912 is not.

Almost surely, 212373107978456 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 12373107978456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873972479000).

12373107978456 is an abundant number, since it is smaller than the sum of its proper divisors (21374836979544).

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

12373107978456 is a wasteful number, since it uses less digits than its factorization.

12373107978456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428929 (or 428922 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 12373107978456 in words is "twelve trillion, three hundred seventy-three billion, one hundred seven million, nine hundred seventy-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 2707 3576 5364 5414 8121 10728 10828 16242 21656 24363 32484 48726 64968 97452 194904 403343 426061 806686 852122 1210029 1278183 1613372 1704244 2420058 2556366 3226744 3408488 3630087 3834549 4840116 5112732 7260174 7669098 9680232 10225464 14520348 15338196 29040696 30676392 63483089 126966178 190449267 253932356 380898534 507864712 571347801 761797068 1142695602 1153347127 1523594136 2285391204 2306694254 3460041381 4570782408 4613388508 6920082762 9226777016 10380124143 13840165524 20760248286 27680331048 41520496572 83040993144 171848721923 343697443846 515546165769 687394887692 1031092331538 1374789775384 1546638497307 2062184663076 3093276994614 4124369326152 6186553989228 12373107978456