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16406265440 = 255293349963
BaseRepresentation
bin11110100011110001…
…11011111001100000
31120100101021122012202
433101320323321200
5232100000443230
611311551112332
71120363645445
oct172170737140
946311248182
1016406265440
116a59a00064
12321a5126a8
131715cac596
14b18cc79cc
156604e5a45
hex3d1e3be60

16406265440 has 48 divisors (see below), whose sum is σ = 38892199248. Its totient is φ = 6540089856.

The previous prime is 16406265437. The next prime is 16406265443. The reversal of 16406265440 is 4456260461.

It is an interprime number because it is at equal distance from previous prime (16406265437) and next prime (16406265443).

It is a junction number, because it is equal to n+sod(n) for n = 16406265394 and 16406265403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16406265443) 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 7 ways as a sum of consecutive naturals, for example, 128102 + ... + 221861.

It is an arithmetic number, because the mean of its divisors is an integer number (810254151).

Almost surely, 216406265440 is an apocalyptic number.

16406265440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16406265440 is an abundant number, since it is smaller than the sum of its proper divisors (22485933808).

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

16406265440 is a wasteful number, since it uses less digits than its factorization.

16406265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350271 (or 350263 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 16406265440 in words is "sixteen billion, four hundred six million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 5860 9376 11720 23440 46880 349963 699926 1399852 1749815 2799704 3499630 5599408 6999260 11198816 13998520 27997040 55994080 102539159 205078318 410156636 512695795 820313272 1025391590 1640626544 2050783180 3281253088 4101566360 8203132720 16406265440