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399957586084 = 227219922272
BaseRepresentation
bin1011101000111110101…
…01000111000010100100
31102020100201202112001001
411310133111013002210
523023103120223314
6503423223043044
740616215250200
oct5643725070244
91366321675031
10399957586084
111446916a3181
1265620ba0484
132b93c90ab54
14155026c1b00
15a60cd1b674
hex5d1f5470a4

399957586084 has 81 divisors (see below), whose sum is σ = 821932162443. Its totient is φ = 169797717936.

The previous prime is 399957586081. The next prime is 399957586087. The reversal of 399957586084 is 480685759993.

The square root of 399957586084 is 632422.

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

It is an interprime number because it is at equal distance from previous prime (399957586081) and next prime (399957586087).

It is a super-3 number, since 3×3999575860843 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 399957585998 and 399957586016.

It is not an unprimeable number, because it can be changed into a prime (399957586081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1761927579 + ... + 1761927805.

Almost surely, 2399957586084 is an apocalyptic number.

399957586084 is the 632422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399957586084

399957586084 is an abundant number, since it is smaller than the sum of its proper divisors (421974576359).

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

399957586084 is an equidigital number, since it uses as much as digits as its factorization.

399957586084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 73.

The spelling of 399957586084 in words is "three hundred ninety-nine billion, nine hundred fifty-seven million, five hundred eighty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 199 227 398 454 796 908 1393 1589 2786 3178 5572 6356 9751 11123 19502 22246 39004 39601 44492 45173 51529 79202 90346 103058 158404 180692 206116 277207 316211 360703 554414 632422 721406 1108828 1264844 1442812 1940449 2213477 2524921 3880898 4426954 5049842 7761796 8853908 8989427 10099684 10254271 17978854 20508542 35957708 41017084 62925989 71779897 125851978 143559794 251703956 287119588 440481923 502459279 880963846 1004918558 1761927692 2009837116 2040599929 4081199858 8162399716 14284199503 28568399006 57136798012 99989396521 199978793042 399957586084