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5377441472 = 261337307569
BaseRepresentation
bin1010000001000010…
…10011111011000000
3111212202121022220222
411000201103323000
542003111111342
62245333122212
7250154332634
oct50041237300
914782538828
105377441472
11230a475407
121060a89368
13679102340
14390272dc4
15217160ed2
hex140853ec0

5377441472 has 112 divisors (see below), whose sum is σ = 11861535840. Its totient is φ = 2402721792.

The previous prime is 5377441457. The next prime is 5377441483. The reversal of 5377441472 is 2741447735.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9450404 + ... + 9450972.

It is an arithmetic number, because the mean of its divisors is an integer number (105906570).

Almost surely, 25377441472 is an apocalyptic number.

5377441472 is a gapful number since it is divisible by the number (52) 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 5377441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930767920).

5377441472 is an abundant number, since it is smaller than the sum of its proper divisors (6484094368).

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

5377441472 is a wasteful number, since it uses less digits than its factorization.

5377441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its digits is 658560, while the sum is 44.

The square root of 5377441472 is about 73331.0403035440. The cubic root of 5377441472 is about 1751.9642132484.

The spelling of 5377441472 in words is "five billion, three hundred seventy-seven million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 307 416 481 569 592 614 832 962 1138 1184 1228 1924 2276 2368 2456 3848 3991 4552 4912 7397 7696 7982 9104 9824 11359 14794 15392 15964 18208 19648 21053 22718 29588 30784 31928 36416 42106 45436 59176 63856 84212 90872 118352 127712 147667 168424 174683 181744 236704 255424 273689 295334 336848 349366 363488 473408 547378 590668 673696 698732 726976 1094756 1181336 1347392 1397464 2189512 2270879 2362672 2794928 4379024 4541758 4725344 5589856 6463271 8758048 9083516 9450688 11179712 12926542 17516096 18167032 25853084 36334064 51706168 72668128 84022523 103412336 145336256 168045046 206824672 336090092 413649344 672180184 1344360368 2688720736 5377441472