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12523470780040 = 235111631237141161
BaseRepresentation
bin1011011000111101100100…
…0001101111011010001000
31122100020021012200222102121
42312033121001233122020
53120141032004430130
642345111505341024
72431535165146123
oct266173101573210
948306235628377
1012523470780040
113a991a0850780
1214a3171037774
136cac5c2c098c
143141d403b3ba
1516ab6e358d7a
hexb63d906f688

12523470780040 has 128 divisors (see below), whose sum is σ = 30953235438720. Its totient is φ = 4522359859200.

The previous prime is 12523470780019. The next prime is 12523470780047. The reversal of 12523470780040 is 4008707432521.

12523470780040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12523470780047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88647060 + ... + 88788220.

It is an arithmetic number, because the mean of its divisors is an integer number (241822151865).

Almost surely, 212523470780040 is an apocalyptic number.

12523470780040 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 12523470780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476617719360).

12523470780040 is an abundant number, since it is smaller than the sum of its proper divisors (18429764658680).

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

12523470780040 is a wasteful number, since it uses less digits than its factorization.

12523470780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142583 (or 142579 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 12523470780040 in words is "twelve trillion, five hundred twenty-three billion, four hundred seventy million, seven hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1237 1304 1630 1793 2474 3260 3586 4948 6185 6520 7172 8965 9896 12370 13607 14344 17930 24740 27214 35860 49480 54428 68035 71720 108856 136070 141161 201631 272140 282322 403262 544280 564644 705805 806524 1008155 1129288 1411610 1552771 1613048 2016310 2217941 2823220 3105542 4032620 4435882 5646440 6211084 7763855 8065240 8871764 11089705 12422168 15527710 17743528 22179410 23009243 31055420 44358820 46018486 62110840 88717640 92036972 115046215 174616157 184073944 230092430 253101673 349232314 460184860 506203346 698464628 873080785 920369720 1012406692 1265508365 1396929256 1746161570 1920777727 2024813384 2531016730 3492323140 3841555454 5062033460 6984646280 7683110908 9603888635 10124066920 15366221816 19207777270 28462433591 38415554540 56924867182 76831109080 113849734364 142312167955 227699468728 284624335910 313086769501 569248671820 626173539002 1138497343640 1252347078004 1565433847505 2504694156008 3130867695010 6261735390020 12523470780040