Search a number
-
+
54947497374 = 232711192109819
BaseRepresentation
bin110011001011001000…
…000100010110011110
312020211101102002010100
4303023020010112132
51400013024403444
641124215321530
73653436010230
oct631310042636
9166741362110
1054947497374
1121337480060
12a7959802a6
135248a78073
142933846250
151668dc9e69
hexccb20459e

54947497374 has 144 divisors (see below), whose sum is σ = 156654276480. Its totient is φ = 13520792160.

The previous prime is 54947497373. The next prime is 54947497399. The reversal of 54947497374 is 47379474945.

54947497374 is a `hidden beast` number, since 5 + 4 + 9 + 474 + 97 + 3 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54947497373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445437 + ... + 555255.

It is an arithmetic number, because the mean of its divisors is an integer number (1087876920).

Almost surely, 254947497374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54947497374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78327138240).

54947497374 is an abundant number, since it is smaller than the sum of its proper divisors (101706779106).

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

54947497374 is a wasteful number, since it uses less digits than its factorization.

54947497374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109883 (or 109861 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 54947497374 in words is "fifty-four billion, nine hundred forty-seven million, four hundred ninety-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 361 399 418 462 627 693 722 798 1083 1197 1254 1386 1463 1881 2166 2394 2527 2926 3249 3762 3971 4389 5054 6498 7581 7942 8778 11913 13167 15162 22743 23826 26334 27797 35739 45486 55594 71478 83391 109819 166782 219638 250173 329457 500346 658914 768733 988371 1208009 1537466 1976742 2086561 2306199 2416018 3624027 4173122 4612398 6259683 6918597 7248054 8456063 10872081 12519366 13837194 14605927 16912126 18779049 21744162 22952171 25368189 29211854 37558098 39644659 43817781 45904342 50736378 68856513 76104567 79289318 87635562 118933977 131453343 137713026 152209134 160665197 206569539 237867954 262906686 277512613 321330394 356801931 413139078 436091249 481995591 555025226 713603862 832537839 872182498 963991182 1308273747 1445986773 1665075678 2497613517 2616547494 2891973546 3052638743 3924821241 4995227034 6105277486 7849642482 9157916229 18315832458 27473748687 54947497374