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46208055712 = 2571324332819
BaseRepresentation
bin101011000010001101…
…101111100110100000
311102021022121102221211
4223002031233212200
51224113230240322
633121102555504
73224035664410
oct530215574640
9142238542854
1046208055712
11186622741a5
128b56b98b94
134485296200
142344c98640
151306a1ab77
hexac236f9a0

46208055712 has 144 divisors (see below), whose sum is σ = 112880900160. Its totient is φ = 18231422976.

The previous prime is 46208055703. The next prime is 46208055713. The reversal of 46208055712 is 21755080264.

It is not an unprimeable number, because it can be changed into a prime (46208055713) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16390239 + ... + 16393057.

It is an arithmetic number, because the mean of its divisors is an integer number (783895140).

Almost surely, 246208055712 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 46208055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56440450080).

46208055712 is an abundant number, since it is smaller than the sum of its proper divisors (66672844448).

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

46208055712 is a wasteful number, since it uses less digits than its factorization.

46208055712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 46208055712 in words is "forty-six billion, two hundred eight million, fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 433 676 728 866 1183 1352 1456 1732 2366 2704 2819 2912 3031 3464 4732 5408 5629 5638 6062 6928 9464 11258 11276 12124 13856 18928 19733 22516 22552 24248 36647 37856 39403 39466 45032 45104 48496 73177 73294 78806 78932 90064 90208 96992 146354 146588 157612 157864 180128 256529 292708 293176 315224 315728 476411 512239 513058 585416 586352 630448 631456 952822 1024478 1026116 1170832 1172704 1220627 1260896 1905644 2048956 2052232 2341664 2441254 3334877 3811288 4097912 4104464 4882508 6669754 7622576 8195824 8208928 8544389 9765016 13339508 15245152 15868151 16391648 17088778 19530032 26679016 31736302 34177556 39060064 53358032 63472604 68355112 106716064 111077057 126945208 136710224 206285963 222154114 253890416 273420448 412571926 444308228 507780832 825143852 888616456 1444001741 1650287704 1777232912 2888003482 3300575408 3554465824 5776006964 6601150816 11552013928 23104027856 46208055712