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46939822336 = 2811212312
BaseRepresentation
bin101011101101110101…
…001101100100000000
311111011022120001001101
4223231311031210000
51232113043303321
633321443144144
73251132622661
oct535565154400
9144138501041
1046939822336
11189a8340300
129120075054
134570a78704
1423b4141368
15134adb5791
hexaedd4d900

46939822336 has 81 divisors (see below), whose sum is σ = 103072210059. Its totient is φ = 21318950400.

The previous prime is 46939822309. The next prime is 46939822337. The reversal of 46939822336 is 63322893964.

The square root of 46939822336 is 216656.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46939822337) 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 8 ways as a sum of consecutive naturals, for example, 38130841 + ... + 38132071.

Almost surely, 246939822336 is an apocalyptic number.

46939822336 is the 216656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46939822336

46939822336 is an abundant number, since it is smaller than the sum of its proper divisors (56132387723).

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

46939822336 is an frugal number, since it uses more digits than its factorization.

46939822336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 1244 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 55.

The spelling of 46939822336 in words is "forty-six billion, nine hundred thirty-nine million, eight hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1231 1408 1936 2462 2816 3872 4924 7744 9848 13541 15488 19696 27082 30976 39392 54164 78784 108328 148951 157568 216656 297902 315136 433312 595804 866624 1191608 1515361 1733248 2383216 3030722 3466496 4766432 6061444 9532864 12122888 16668971 19065728 24245776 33337942 38131456 48491552 66675884 96983104 133351768 183358681 193966208 266703536 366717362 387932416 533407072 733434724 1066814144 1466869448 2133628288 2933738896 4267256576 5867477792 11734955584 23469911168 46939822336