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43640695956 = 2231113151116831
BaseRepresentation
bin101000101001001100…
…000010110010010100
311011122101200001110110
4220221030002302110
51203334004232311
632014231323020
73103312536504
oct505114026224
9134571601413
1043640695956
1117565042880
12855b220470
134166410c20
14217dd11a04
1512064368a6
hexa29302c94

43640695956 has 96 divisors (see below), whose sum is σ = 119716724736. Its totient is φ = 12198384000.

The previous prime is 43640695951. The next prime is 43640695961. The reversal of 43640695956 is 65959604634.

It is an interprime number because it is at equal distance from previous prime (43640695951) and next prime (43640695961).

It is a junction number, because it is equal to n+sod(n) for n = 43640695896 and 43640695905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43640695951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584461 + ... + 2601291.

It is an arithmetic number, because the mean of its divisors is an integer number (1247049216).

Almost surely, 243640695956 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 43640695956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59858362368).

43640695956 is an abundant number, since it is smaller than the sum of its proper divisors (76076028780).

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

43640695956 is a wasteful number, since it uses less digits than its factorization.

43640695956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18371 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 57.

The spelling of 43640695956 in words is "forty-three billion, six hundred forty million, six hundred ninety-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1511 1716 3022 4533 6044 9066 16621 16831 18132 19643 33242 33662 39286 49863 50493 58929 66484 67324 78572 99726 100986 117858 185141 199452 201972 216073 218803 235716 370282 432146 437606 555423 648219 656409 740564 864292 875212 1110846 1296438 1312818 2221692 2406833 2592876 2625636 4813666 7220499 9627332 14440998 25431641 28881996 50863282 76294923 101726564 152589846 279748051 305179692 330611333 559496102 661222666 839244153 991833999 1118992204 1322445332 1678488306 1983667998 3356976612 3636724663 3967335996 7273449326 10910173989 14546898652 21820347978 43640695956