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5154091264 = 28726412
BaseRepresentation
bin1001100110011010…
…10011000100000000
3111022012022222001001
410303031103010000
541023421410024
62211234021344
7241503024100
oct46315230400
914265288031
105154091264
112205394063
12bba117854
13641a60a5a
1436c733200
15202743244
hex133353100

5154091264 has 81 divisors (see below), whose sum is σ = 11986430421. Its totient is φ = 2205450240.

The previous prime is 5154091213. The next prime is 5154091273. The reversal of 5154091264 is 4621904515.

The square root of 5154091264 is 71792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4652331264 + 501760000 = 68208^2 + 22400^2 .

It is a super-2 number, since 2×51540912642 = 53129313515282235392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8040384 + ... + 8041024.

Almost surely, 25154091264 is an apocalyptic number.

5154091264 is the 71792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5154091264

5154091264 is an abundant number, since it is smaller than the sum of its proper divisors (6832339157).

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

5154091264 is an frugal number, since it uses more digits than its factorization.

5154091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 5154091264 is about 1727.3646784243.

Adding to 5154091264 its reverse (4621904515), we get a palindrome (9775995779).

The spelling of 5154091264 in words is "five billion, one hundred fifty-four million, ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 641 784 896 1282 1568 1792 2564 3136 4487 5128 6272 8974 10256 12544 17948 20512 31409 35896 41024 62818 71792 82048 125636 143584 164096 251272 287168 410881 502544 574336 821762 1005088 1148672 1643524 2010176 2876167 3287048 4020352 5752334 6574096 8040704 11504668 13148192 20133169 23009336 26296384 40266338 46018672 52592768 80532676 92037344 105185536 161065352 184074688 322130704 368149376 644261408 736298752 1288522816 2577045632 5154091264