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4594620672 = 283573859
BaseRepresentation
bin1000100011101110…
…00101100100000000
3102212012120220200000
410101313011210000
533402210330142
62035530400000
7221600426355
oct42167054400
912765526600
104594620672
111a485a8574
12a82890000
13582b85975
143182da62c
151bd57e14c
hex111dc5900

4594620672 has 108 divisors (see below), whose sum is σ = 13738255440. Its totient is φ = 1531519488.

The previous prime is 4594620659. The next prime is 4594620677. The reversal of 4594620672 is 2760264954.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×45946206722 = 42221078239139463168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4594620677) 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, 25279 + ... + 99137.

Almost surely, 24594620672 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 4594620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869127720).

4594620672 is an abundant number, since it is smaller than the sum of its proper divisors (9143634768).

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

4594620672 is an frugal number, since it uses more digits than its factorization.

4594620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73890 (or 73864 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4594620672 is about 67783.6312984189. The cubic root of 4594620672 is about 1662.4549576204.

The spelling of 4594620672 in words is "four billion, five hundred ninety-four million, six hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 73859 147718 221577 295436 443154 590872 664731 886308 1181744 1329462 1772616 1994193 2363488 2658924 3545232 3988386 4726976 5317848 5982579 7090464 7976772 9453952 10635696 11965158 14180928 15953544 17947737 18907904 21271392 23930316 28361856 31907088 35895474 42542784 47860632 56723712 63814176 71790948 85085568 95721264 127628352 143581896 170171136 191442528 255256704 287163792 382885056 510513408 574327584 765770112 1148655168 1531540224 2297310336 4594620672