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11552013928 = 2371324332819
BaseRepresentation
bin10101100001000110…
…11011111001101000
31002211002011002222201
422300203123321220
5142124303421203
65150143425544
7556161332620
oct126043337150
932732132881
1011552013928
1149988a1054
1222a48b52b4
1311213c1700
147b8325880
1547927de1d
hex2b08dbe68

11552013928 has 96 divisors (see below), whose sum is σ = 26876404800. Its totient is φ = 4557855744.

The previous prime is 11552013887. The next prime is 11552013959. The reversal of 11552013928 is 82931025511.

11552013928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096503 + ... + 4099321.

It is an arithmetic number, because the mean of its divisors is an integer number (279962550).

Almost surely, 211552013928 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 11552013928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438202400).

11552013928 is an abundant number, since it is smaller than the sum of its proper divisors (15324390872).

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

11552013928 is a wasteful number, since it uses less digits than its factorization.

11552013928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 11552013928 in words is "eleven billion, five hundred fifty-two million, thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 433 676 728 866 1183 1352 1732 2366 2819 3031 3464 4732 5629 5638 6062 9464 11258 11276 12124 19733 22516 22552 24248 36647 39403 39466 45032 73177 73294 78806 78932 146354 146588 157612 157864 256529 292708 293176 315224 476411 512239 513058 585416 952822 1024478 1026116 1220627 1905644 2048956 2052232 2441254 3334877 3811288 4097912 4882508 6669754 8544389 9765016 13339508 15868151 17088778 26679016 31736302 34177556 63472604 68355112 111077057 126945208 206285963 222154114 412571926 444308228 825143852 888616456 1444001741 1650287704 2888003482 5776006964 11552013928