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4666825728 = 21032836101
BaseRepresentation
bin1000101100010101…
…00001110000000000
3110001020110022101100
410112022201300000
534024201410403
62051030134400
7223435235625
oct42612416000
913036408340
104666825728
111a85335274
12aa2ab1400
13594b17056
14323b3434c
151c4a932a3
hex1162a1c00

4666825728 has 132 divisors (see below), whose sum is σ = 13639947048. Its totient is φ = 1536614400.

The previous prime is 4666825727. The next prime is 4666825831. The reversal of 4666825728 is 8275286664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666825721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 761878 + ... + 767978.

Almost surely, 24666825728 is an apocalyptic number.

4666825728 is a gapful number since it is divisible by the number (48) 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 4666825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819973524).

4666825728 is an abundant number, since it is smaller than the sum of its proper divisors (8973121320).

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

4666825728 is a wasteful number, since it uses less digits than its factorization.

4666825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6189 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 4666825728 is about 68314.1693062281. The cubic root of 4666825728 is about 1671.1182976738.

The spelling of 4666825728 in words is "four billion, six hundred sixty-six million, eight hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2304 2656 2988 3072 3984 4608 5312 5976 6101 7968 9216 10624 11952 12202 15936 18303 21248 23904 24404 31872 36606 42496 47808 48808 54909 63744 73212 84992 95616 97616 109818 127488 146424 191232 195232 219636 254976 292848 382464 390464 439272 506383 585696 764928 780928 878544 1012766 1171392 1519149 1561856 1757088 2025532 2342784 3038298 3123712 3514176 4051064 4557447 4685568 6076596 6247424 7028352 8102128 9114894 9371136 12153192 14056704 16204256 18229788 18742272 24306384 28113408 32408512 36459576 48612768 56226816 64817024 72919152 97225536 129634048 145838304 194451072 259268096 291676608 388902144 518536192 583353216 777804288 1166706432 1555608576 2333412864 4666825728