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46126232640 = 2632516016053
BaseRepresentation
bin101010111101010101…
…100111010001000000
311102001121122101210200
4222331111213101000
51223431303421030
633105021125200
73222023336235
oct527525472100
9142047571720
1046126232640
1118620068324
128b336b9800
1344713480a7
14233807978c
1512ee756d60
hexabd567440

46126232640 has 84 divisors (see below), whose sum is σ = 158655030924. Its totient is φ = 12300327936.

The previous prime is 46126232639. The next prime is 46126232657. The reversal of 46126232640 is 4623262164.

46126232640 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 6 + 2 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36836357184 + 9289875456 = 191928^2 + 96384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46126232595 and 46126232604.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8005147 + ... + 8010906.

Almost surely, 246126232640 is an apocalyptic number.

46126232640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46126232640 is an abundant number, since it is smaller than the sum of its proper divisors (112528798284).

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

46126232640 is a wasteful number, since it uses less digits than its factorization.

46126232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016076 (or 16016063 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46126232640 in words is "forty-six billion, one hundred twenty-six million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 16016053 32032106 48048159 64064212 80080265 96096318 128128424 144144477 160160530 192192636 240240795 256256848 288288954 320321060 384385272 480481590 512513696 576577908 640642120 720722385 768770544 960963180 1025027392 1153155816 1281284240 1441444770 1537541088 1921926360 2306311632 2562568480 2882889540 3075082176 3843852720 4612623264 5125136960 5765779080 7687705440 9225246528 11531558160 15375410880 23063116320 46126232640