Search a number
-
+
467013682140 = 2235131229725867
BaseRepresentation
bin1101100101111000010…
…11110100001111011100
31122122102222122010220020
412302330023310033130
530122421000312030
6554313151552140
745512014541415
oct6627413641734
91578388563806
10467013682140
11170072059685
1276615b2b650
1335068181cb5
141886433480c
15c234c69510
hex6cbc2f43dc

467013682140 has 96 divisors (see below), whose sum is σ = 1318244868864. Its totient is φ = 123527738880.

The previous prime is 467013682129. The next prime is 467013682147. The reversal of 467013682140 is 41286310764.

It is a junction number, because it is equal to n+sod(n) for n = 467013682092 and 467013682101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467013682147) 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, 18041487 + ... + 18067353.

It is an arithmetic number, because the mean of its divisors is an integer number (13731717384).

Almost surely, 2467013682140 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 467013682140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659122434432).

467013682140 is an abundant number, since it is smaller than the sum of its proper divisors (851231186724).

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

467013682140 is a wasteful number, since it uses less digits than its factorization.

467013682140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28307 (or 28305 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 467013682140 in words is "four hundred sixty-seven billion, thirteen million, six hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2297 2620 3930 4594 6891 7860 9188 11485 13782 22970 25867 27564 34455 45940 51734 68910 77601 103468 129335 137820 155202 258670 300907 310404 388005 517340 601814 776010 902721 1203628 1504535 1552020 1805442 3009070 3388577 3610884 4513605 6018140 6777154 9027210 10165731 13554308 16942885 18054420 20331462 33885770 40662924 50828655 59416499 67771540 101657310 118832998 178249497 203314620 237665996 297082495 356498994 594164990 712997988 891247485 1188329980 1782494970 3564989940 7783561369 15567122738 23350684107 31134245476 38917806845 46701368214 77835613690 93402736428 116753420535 155671227380 233506841070 467013682140