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40893361640 = 2357126095519
BaseRepresentation
bin100110000101011011…
…110010110111101000
310220112221002000021122
4212011123302313220
51132222200033030
630441450354412
72645242560455
oct460533626750
9126487060248
1040893361640
111638526694a
127b1312ba08
133b19193511
141d9d0ba82c
1510e51518e5
hex9856f2de8

40893361640 has 64 divisors (see below), whose sum is σ = 93358656000. Its totient is φ = 16117857280.

The previous prime is 40893361573. The next prime is 40893361693. The reversal of 40893361640 is 4616339804.

It is a junction number, because it is equal to n+sod(n) for n = 40893361591 and 40893361600.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7406801 + ... + 7412319.

It is an arithmetic number, because the mean of its divisors is an integer number (1458729000).

Almost surely, 240893361640 is an apocalyptic number.

40893361640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40893361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46679328000).

40893361640 is an abundant number, since it is smaller than the sum of its proper divisors (52465294360).

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

40893361640 is a wasteful number, since it uses less digits than its factorization.

40893361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 40893361640 in words is "forty billion, eight hundred ninety-three million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2609 2840 5218 5519 10436 11038 13045 20872 22076 26090 27595 44152 52180 55190 104360 110380 185239 220760 370478 391849 740956 783698 926195 1481912 1567396 1852390 1959245 3134792 3704780 3918490 7409560 7836980 14399071 15673960 28798142 57596284 71995355 115192568 143990710 287981420 575962840 1022334041 2044668082 4089336164 5111670205 8178672328 10223340410 20446680820 40893361640