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5344680960 = 210325115987
BaseRepresentation
bin1001111101001000…
…10101110000000000
3111210110221220221200
410332210111300000
541421214242320
62242203021200
7246306016143
oct47644256000
914713856850
105344680960
1122a2a29a03
121051b0a800
136723a1a18
14389b8605a
1521433e290
hex13e915c00

5344680960 has 132 divisors (see below), whose sum is σ = 18519340008. Its totient is φ = 1425235968.

The previous prime is 5344680941. The next prime is 5344680973. The reversal of 5344680960 is 690864435.

It is a super-2 number, since 2×53446809602 = 57131229128373043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11914 + ... + 104073.

Almost surely, 25344680960 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 5344680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259670004).

5344680960 is an abundant number, since it is smaller than the sum of its proper divisors (13174659048).

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

5344680960 is a wasteful number, since it uses less digits than its factorization.

5344680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116018 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5344680960 is about 73107.3249408019. The cubic root of 5344680960 is about 1748.3991848058.

The spelling of 5344680960 in words is "five billion, three hundred forty-four million, six hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 115987 231974 347961 463948 579935 695922 927896 1043883 1159870 1391844 1739805 1855792 2087766 2319740 2783688 3479610 3711584 4175532 4639480 5219415 5567376 6959220 7423168 8351064 9278960 10438830 11134752 13918440 14846336 16702128 18557920 20877660 22269504 27836880 29692672 33404256 37115840 41755320 44539008 55673760 59385344 66808512 74231680 83510640 89078016 111347520 118770688 133617024 148463360 167021280 178156032 222695040 267234048 296926720 334042560 356312064 445390080 534468096 593853440 668085120 890780160 1068936192 1336170240 1781560320 2672340480 5344680960