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4663623040 = 27517940709
BaseRepresentation
bin1000101011111100…
…10011110110000000
3110001000102121010021
410111332103312000
534022341414130
62050433343224
7223366066426
oct42576236600
913030377107
104663623040
111a8354801a
12aa1a07b14
1359426537b
1432353d116
151c465e37a
hex115f93d80

4663623040 has 64 divisors (see below), whose sum is σ = 11211534000. Its totient is φ = 1854982144.

The previous prime is 4663622983. The next prime is 4663623077. The reversal of 4663623040 is 403263664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4663622987 and 4663623005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94206 + ... + 134914.

Almost surely, 24663623040 is an apocalyptic number.

4663623040 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 4663623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605767000).

4663623040 is an abundant number, since it is smaller than the sum of its proper divisors (6547910960).

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

4663623040 is a wasteful number, since it uses less digits than its factorization.

4663623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40907 (or 40895 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 4663623040 is about 68290.7244067597. The cubic root of 4663623040 is about 1670.7359324707.

The spelling of 4663623040 in words is "four billion, six hundred sixty-three million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 320 358 640 716 895 1432 1790 2864 3580 5728 7160 11456 14320 22912 28640 40709 57280 81418 114560 162836 203545 325672 407090 651344 814180 1302688 1628360 2605376 3256720 5210752 6513440 7286911 13026880 14573822 26053760 29147644 36434555 58295288 72869110 116590576 145738220 233181152 291476440 466362304 582952880 932724608 1165905760 2331811520 4663623040