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4674051744 = 253592113911
BaseRepresentation
bin1000101101001100…
…00101111010100000
3110001202001102121120
410112212011322200
534033024123434
62051445052240
7223553533005
oct42646057240
913052042546
104674051744
111a8942028a
12aa53b7080
135964770bb
14324a958ac
151c551e349
hex116985ea0

4674051744 has 96 divisors (see below), whose sum is σ = 12539681280. Its totient is φ = 1523961600.

The previous prime is 4674051727. The next prime is 4674051749. The reversal of 4674051744 is 4471504764.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4674051696 and 4674051705.

It is not an unprimeable number, because it can be changed into a prime (4674051749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193149 + ... + 1197059.

It is an arithmetic number, because the mean of its divisors is an integer number (130621680).

Almost surely, 24674051744 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 4674051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269840640).

4674051744 is an abundant number, since it is smaller than the sum of its proper divisors (7865629536).

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

4674051744 is a wasteful number, since it uses less digits than its factorization.

4674051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 4674051744 is about 68367.0369695806. The cubic root of 4674051744 is about 1671.9803611774.

The spelling of 4674051744 in words is "four billion, six hundred seventy-four million, fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 211 236 354 422 472 633 708 844 944 1266 1416 1688 1888 2532 2832 3376 3911 5064 5664 6752 7822 10128 11733 12449 15644 20256 23466 24898 31288 37347 46932 49796 62576 74694 93864 99592 125152 149388 187728 199184 230749 298776 375456 398368 461498 597552 692247 825221 922996 1195104 1384494 1650442 1845992 2475663 2768988 3300884 3691984 4951326 5537976 6601768 7383968 9902652 11075952 13203536 19805304 22151904 26407072 39610608 48688039 79221216 97376078 146064117 194752156 292128234 389504312 584256468 779008624 1168512936 1558017248 2337025872 4674051744