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54718952495076 = 223461267372
BaseRepresentation
bin11000111000100001111111…
…01110011101011111100100
321011202002011212210212110000
430130100333232131133210
524133003403314320301
6312213312330301300
714345212440000402
oct1434207756353744
9234662155725400
1054718952495076
11164871a5188421
126178a96587830
13246bc8a33256c
14d725a8d7c472
1564d5739c6786
hex31c43fb9d7e4

54718952495076 has 135 divisors (see below), whose sum is σ = 145451202203307. Its totient is φ = 17937977160960.

The previous prime is 54718952495069. The next prime is 54718952495107. The reversal of 54718952495076 is 67059425981745.

The square root of 54718952495076 is 7397226.

It is a perfect power (a square), and thus also a powerful number.

54718952495076 is a `hidden beast` number, since 5 + 4 + 7 + 1 + 8 + 9 + 524 + 95 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17103104648100 + 37615847846976 = 4135590^2 + 6133176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54718952494995 and 54718952495013.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8122150780 + ... + 8122157516.

Almost surely, 254718952495076 is an apocalyptic number.

54718952495076 is the 7397226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54718952495076

54718952495076 is an abundant number, since it is smaller than the sum of its proper divisors (90732249708231).

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

54718952495076 is an frugal number, since it uses more digits than its factorization.

54718952495076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 54718952495076 in words is "fifty-four trillion, seven hundred eighteen billion, nine hundred fifty-two million, four hundred ninety-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 3721 4941 6588 6737 7442 9882 11163 13474 14884 19764 20211 22326 26948 33489 40422 44652 60633 66978 80844 100467 121266 133956 181899 200934 242532 301401 363798 401868 410957 545697 602802 727596 821914 1091394 1205604 1232871 1643828 2182788 2465742 3698613 4931484 7397226 11095839 14794452 22191678 25068377 33287517 44383356 45387169 50136754 66575034 75205131 90774338 100273508 133150068 136161507 150410262 181548676 225615393 272323014 300820524 408484521 451230786 544646028 676846179 816969042 902461572 1225453563 1353692358 1633938084 2030538537 2450907126 2707384716 2768617309 3676360689 4061077074 4901814252 5537234618 7352721378 8122154148 8305851927 11074469236 14705442756 16611703854 24917555781 33223407708 49835111562 74752667343 99670223124 149505334686 168885655849 224258002029 299010669372 337771311698 448516004058 506656967547 675542623396 897032008116 1013313935094 1519970902641 2026627870188 3039941805282 4559912707923 6079883610564 9119825415846 13679738123769 18239650831692 27359476247538 54718952495076