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46049726464 = 212724792
BaseRepresentation
bin101010111000110001…
…110001000000000000
311101212021200111001121
4222320301301000000
51223302212221324
633053245242024
73220104134200
oct527061610000
9141767614047
1046049726464
1118590963085
128b11b63314
13445b53c071
14232bc42400
1512e7b935e4
hexab8c71000

46049726464 has 117 divisors (see below), whose sum is σ = 107347125927. Its totient is φ = 19694395392.

The previous prime is 46049726449. The next prime is 46049726477. The reversal of 46049726464 is 46462794064.

The square root of 46049726464 is 214592.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96136977 + ... + 96137455.

Almost surely, 246049726464 is an apocalyptic number.

46049726464 is the 214592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46049726464

46049726464 is an abundant number, since it is smaller than the sum of its proper divisors (61297399463).

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

46049726464 is an frugal number, since it uses more digits than its factorization.

46049726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 46049726464 in words is "forty-six billion, forty-nine million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 479 512 784 896 958 1024 1568 1792 1916 2048 3136 3353 3584 3832 4096 6272 6706 7168 7664 12544 13412 14336 15328 23471 25088 26824 28672 30656 46942 50176 53648 61312 93884 100352 107296 122624 187768 200704 214592 229441 245248 375536 429184 458882 490496 751072 858368 917764 980992 1502144 1606087 1716736 1835528 1961984 3004288 3212174 3433472 3671056 6008576 6424348 6866944 7342112 11242609 12017152 12848696 13733888 14684224 22485218 24034304 25697392 29368448 44970436 48068608 51394784 58736896 89940872 96137216 102789568 117473792 179881744 205579136 234947584 359763488 411158272 469895168 719526976 822316544 939790336 1439053952 1644633088 2878107904 3289266176 5756215808 6578532352 11512431616 23024863232 46049726464