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5074723872 = 253417311317
BaseRepresentation
bin1001011100111101…
…00010010000100000
3111002122222200110000
410232132202100200
540343112130442
62155320540000
7236520304221
oct45636422040
914078880400
105074723872
112174605179
12b97621600
1362b4925ba
14361d93248
151ea7b6d4c
hex12e7a2420

5074723872 has 120 divisors (see below), whose sum is σ = 15012217836. Its totient is φ = 1681648128.

The previous prime is 5074723867. The next prime is 5074723879. The reversal of 5074723872 is 2783274705.

5074723872 is a `hidden beast` number, since 507 + 4 + 72 + 3 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3697126416 + 1377597456 = 60804^2 + 37116^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (5074723879) 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 19 ways as a sum of consecutive naturals, for example, 442758 + ... + 454074.

Almost surely, 25074723872 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 5074723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506108918).

5074723872 is an abundant number, since it is smaller than the sum of its proper divisors (9937493964).

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

5074723872 is a wasteful number, since it uses less digits than its factorization.

5074723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 5074723872 is about 71237.0961788870. The cubic root of 5074723872 is about 1718.4522619167.

The spelling of 5074723872 in words is "five billion, seventy-four million, seven hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 173 216 288 324 346 432 519 648 692 864 1038 1296 1384 1557 2076 2592 2768 3114 4152 4671 5536 6228 8304 9342 11317 12456 14013 16608 18684 22634 24912 28026 33951 37368 45268 49824 56052 67902 74736 90536 101853 112104 135804 149472 181072 203706 224208 271608 305559 362144 407412 448416 543216 611118 814824 916677 1086432 1222236 1629648 1833354 1957841 2444472 3259296 3666708 3915682 4888944 5873523 7333416 7831364 9777888 11747046 14666832 15662728 17620569 23494092 29333664 31325456 35241138 46988184 52861707 62650912 70482276 93976368 105723414 140964552 158585121 187952736 211446828 281929104 317170242 422893656 563858208 634340484 845787312 1268680968 1691574624 2537361936 5074723872