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56481184548 = 223323145315649
BaseRepresentation
bin110100100110100010…
…100111101100100100
312101210021022110102000
4310212202213230210
51411133140401143
641540323445300
74036441101345
oct644642475444
9171707273360
1056481184548
1121a54179a18
12ab43526830
135431733679
142a3b3d80cc
15170887abd3
hexd268a7b24

56481184548 has 96 divisors (see below), whose sum is σ = 152914272000. Its totient is φ = 17994949632.

The previous prime is 56481184519. The next prime is 56481184553. The reversal of 56481184548 is 84548118465.

56481184548 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 11 + 84 + 548 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56481184494 and 56481184503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3601428 + ... + 3617076.

It is an arithmetic number, because the mean of its divisors is an integer number (1592857000).

Almost surely, 256481184548 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 56481184548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457136000).

56481184548 is an abundant number, since it is smaller than the sum of its proper divisors (96433087452).

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

56481184548 is a wasteful number, since it uses less digits than its factorization.

56481184548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17138 (or 17130 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The spelling of 56481184548 in words is "fifty-six billion, four hundred eighty-one million, one hundred eighty-four thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1453 2484 2906 4359 5812 8718 13077 15649 17436 26154 31298 33419 39231 46947 52308 62596 66838 78462 93894 100257 133676 140841 156924 187788 200514 281682 300771 359927 401028 422523 563364 601542 719854 845046 902313 1079781 1203084 1439708 1690092 1804626 2159562 3239343 3609252 4319124 6478686 9718029 12957372 19436058 22737997 38872116 45475994 68213991 90951988 136427982 204641973 272855964 409283946 522973931 613925919 818567892 1045947862 1227851838 1568921793 2091895724 2455703676 3137843586 4706765379 6275687172 9413530758 14120296137 18827061516 28240592274 56481184548