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5274653440 = 28571374297
BaseRepresentation
bin1001110100110010…
…01101001100000000
3111121121012011020211
410322121031030000
541300302402230
62231222043504
7244465546240
oct47231151400
914547164224
105274653440
11226744a221
121032579594
13660a23814
14380757b20
1520d10a42a
hex13a64d300

5274653440 has 144 divisors (see below), whose sum is σ = 14548145472. Its totient is φ = 1794834432.

The previous prime is 5274653401. The next prime is 5274653459. The reversal of 5274653440 is 443564725.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5274653393 and 5274653402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1225372 + ... + 1229668.

It is an arithmetic number, because the mean of its divisors is an integer number (101028788).

Almost surely, 25274653440 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 5274653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274072736).

5274653440 is an abundant number, since it is smaller than the sum of its proper divisors (9273492032).

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

5274653440 is a wasteful number, since it uses less digits than its factorization.

5274653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The square root of 5274653440 is about 72626.8093750510. The cubic root of 5274653440 is about 1740.7295835036.

The spelling of 5274653440 in words is "five billion, two hundred seventy-four million, six hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 137 140 160 224 256 274 280 320 448 548 560 640 685 896 959 1096 1120 1280 1370 1792 1918 2192 2240 2740 3836 4297 4384 4480 4795 5480 7672 8594 8768 8960 9590 10960 15344 17188 17536 19180 21485 21920 30079 30688 34376 35072 38360 42970 43840 60158 61376 68752 76720 85940 87680 120316 122752 137504 150395 153440 171880 175360 240632 245504 275008 300790 306880 343760 481264 550016 588689 601580 613760 687520 962528 1100032 1177378 1203160 1227520 1375040 1925056 2354756 2406320 2750080 2943445 3850112 4120823 4709512 4812640 5500160 5886890 7700224 8241646 9419024 9625280 11773780 16483292 18838048 19250560 20604115 23547560 32966584 37676096 38501120 41208230 47095120 65933168 75352192 82416460 94190240 131866336 150704384 164832920 188380480 263732672 329665840 376760960 527465344 659331680 753521920 1054930688 1318663360 2637326720 5274653440