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54461000264 = 231115733111909
BaseRepresentation
bin110010101110001000…
…001110101001001000
312012120110222110112212
4302232020032221020
51343014004002024
641004040124252
73635410602266
oct625610165110
9165513873485
1054461000264
11211078a6630
12a67aa66688
13519c040058
1428c8da7436
15163b32ca0e
hexcae20ea48

54461000264 has 64 divisors (see below), whose sum is σ = 112455172800. Its totient is φ = 24520953600.

The previous prime is 54461000203. The next prime is 54461000273. The reversal of 54461000264 is 46200016445.

It is a self number, because there is not a number n which added to its sum of digits gives 54461000264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4567142 + ... + 4579050.

It is an arithmetic number, because the mean of its divisors is an integer number (1757112075).

Almost surely, 254461000264 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 54461000264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227586400).

54461000264 is an abundant number, since it is smaller than the sum of its proper divisors (57994172536).

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

54461000264 is a wasteful number, since it uses less digits than its factorization.

54461000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 54461000264 in words is "fifty-four billion, four hundred sixty-one million, two hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 157 314 331 628 662 1256 1324 1727 2648 3454 3641 6908 7282 11909 13816 14564 23818 29128 47636 51967 95272 103934 130999 207868 261998 415736 523996 571637 1047992 1143274 1869713 2286548 3739426 3941879 4573096 7478852 7883758 14957704 15767516 20566843 31535032 41133686 43360669 82267372 86721338 164534744 173442676 346885352 618875003 1237750006 2475500012 4951000024 6807625033 13615250066 27230500132 54461000264