Search a number
-
+
13092092224 = 261729537829
BaseRepresentation
bin11000011000101100…
…10111100101000000
31020210102002012020121
430030112113211000
5203303033422344
610003040550024
7642301643041
oct141426274500
936712065217
1013092092224
115609165732
122654622314
1313084a7043
148c2a9c8c8
15519593684
hex30c597940

13092092224 has 112 divisors (see below), whose sum is σ = 28996995600. Its totient is φ = 5835554816.

The previous prime is 13092092219. The next prime is 13092092257. The reversal of 13092092224 is 42229029031.

It can be written as a sum of positive squares in 8 ways, for example, as 57760000 + 13034332224 = 7600^2 + 114168^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 13092092224.

It is a congruent number.

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, 1668342 + ... + 1676170.

Almost surely, 213092092224 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 13092092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498497800).

13092092224 is an abundant number, since it is smaller than the sum of its proper divisors (15904903376).

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

13092092224 is a wasteful number, since it uses less digits than its factorization.

13092092224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 13092092224 in words is "thirteen billion, ninety-two million, ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 53 58 64 68 106 116 136 212 232 272 424 464 493 544 848 901 928 986 1088 1537 1696 1802 1856 1972 3074 3392 3604 3944 6148 7208 7829 7888 12296 14416 15658 15776 24592 26129 28832 31316 31552 49184 52258 57664 62632 98368 104516 125264 133093 209032 227041 250528 266186 414937 418064 454082 501056 532372 829874 836128 908164 1064744 1659748 1672256 1816328 2129488 3319496 3632656 3859697 4258976 6638992 7053929 7265312 7719394 8517952 12033173 13277984 14107858 14530624 15438788 24066346 26555968 28215716 30877576 48132692 56431432 61755152 96265384 112862864 123510304 192530768 204563941 225725728 247020608 385061536 409127882 451451456 770123072 818255764 1636511528 3273023056 6546046112 13092092224