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4723063920 = 2432512375303
BaseRepresentation
bin1000110011000010…
…00011110001110000
3110012011021111200100
410121201003301300
534133101021140
62100355352400
7225020244441
oct43141036160
913164244610
104723063920
112004056913
12ab98b2700
135a36779a3
1432b3b32c8
151c99a1530
hex119843c70

4723063920 has 120 divisors (see below), whose sum is σ = 15877439136. Its totient is φ = 1258228224.

The previous prime is 4723063907. The next prime is 4723063927. The reversal of 4723063920 is 293603274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4723063927) 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 23 ways as a sum of consecutive naturals, for example, 887989 + ... + 893291.

Almost surely, 24723063920 is an apocalyptic number.

4723063920 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 4723063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938719568).

4723063920 is an abundant number, since it is smaller than the sum of its proper divisors (11154375216).

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

4723063920 is a wasteful number, since it uses less digits than its factorization.

4723063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4723063920 is about 68724.5510716512. The cubic root of 4723063920 is about 1677.8041890821.

The spelling of 4723063920 in words is "four billion, seven hundred twenty-three million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1237 2474 3711 4948 5303 6185 7422 9896 10606 11133 12370 14844 15909 18555 19792 21212 22266 24740 26515 29688 31818 37110 42424 44532 47727 49480 53030 55665 59376 63636 74220 79545 84848 89064 95454 98960 106060 111330 127272 148440 159090 178128 190908 212120 222660 238635 254544 296880 318180 381816 424240 445320 477270 636360 763632 890640 954540 1272720 1909080 3818160 6559811 13119622 19679433 26239244 32799055 39358866 52478488 59038299 65598110 78717732 98397165 104956976 118076598 131196220 157435464 196794330 236153196 262392440 295191495 314870928 393588660 472306392 524784880 590382990 787177320 944612784 1180765980 1574354640 2361531960 4723063920