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4747106304 = 211332932
BaseRepresentation
bin1000110101111001…
…10001100000000000
3110020211111222122000
410122330301200000
534210224400204
62103014544000
7225431511033
oct43274614000
913224458560
104747106304
112016688256
12b05968000
135a8645055
1433067101a
151cbb50039
hex11af31800

4747106304 has 144 divisors (see below), whose sum is σ = 14110223400. Its totient is φ = 1576968192.

The previous prime is 4747106293. The next prime is 4747106317. The reversal of 4747106304 is 4036017474.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4747106304 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 10 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×47471063042 = 45070036522953080832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16201582 + ... + 16201874.

Almost surely, 24747106304 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 4747106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055111700).

4747106304 is an abundant number, since it is smaller than the sum of its proper divisors (9363117096).

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

4747106304 is an frugal number, since it uses more digits than its factorization.

4747106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4747106304 is about 68899.2474850052. The cubic root of 4747106304 is about 1680.6462819611.

The spelling of 4747106304 in words is "four billion, seven hundred forty-seven million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 293 384 432 512 576 586 768 864 879 1024 1152 1172 1536 1728 1758 2048 2304 2344 2637 3072 3456 3516 4608 4688 5274 6144 6912 7032 7911 9216 9376 10548 13824 14064 15822 18432 18752 21096 27648 28128 31644 37504 42192 55296 56256 63288 75008 84384 85849 112512 126576 150016 168768 171698 225024 253152 257547 300032 337536 343396 450048 506304 515094 600064 675072 686792 772641 900096 1012608 1030188 1350144 1373584 1545282 1800192 2025216 2060376 2317923 2700288 2747168 3090564 4050432 4120752 4635846 5400576 5494336 6181128 8100864 8241504 9271692 10988672 12362256 16201728 16483008 18543384 21977344 24724512 32966016 37086768 43954688 49449024 65932032 74173536 87909376 98898048 131864064 148347072 175818752 197796096 263728128 296694144 395592192 527456256 593388288 791184384 1186776576 1582368768 2373553152 4747106304