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11307052608 = 2631917211801
BaseRepresentation
bin10101000011111001…
…11110111001000000
31002012000012210020020
422201330332321000
5141124101140413
65105553213440
7550125234645
oct124174767100
932160183206
1011307052608
114882599a85
122236861280
1310b2724597
1479399bdcc
154629e2c23
hex2a1f3ee40

11307052608 has 112 divisors (see below), whose sum is σ = 31526927040. Its totient is φ = 3566592000.

The previous prime is 11307052607. The next prime is 11307052613. The reversal of 11307052608 is 80625070311.

11307052608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11307052607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6277308 + ... + 6279108.

It is an arithmetic number, because the mean of its divisors is an integer number (281490420).

Almost surely, 211307052608 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 11307052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763463520).

11307052608 is an abundant number, since it is smaller than the sum of its proper divisors (20219874432).

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

11307052608 is a wasteful number, since it uses less digits than its factorization.

11307052608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11307052608 in words is "eleven billion, three hundred seven million, fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1721 1801 1824 3442 3602 3648 5163 5403 6884 7204 10326 10806 13768 14408 20652 21612 27536 28816 32699 34219 41304 43224 55072 57632 65398 68438 82608 86448 98097 102657 110144 115264 130796 136876 165216 172896 196194 205314 261592 273752 330432 345792 392388 410628 523184 547504 784776 821256 1046368 1095008 1569552 1642512 2092736 2190016 3099521 3139104 3285024 6199042 6278208 6570048 9298563 12398084 18597126 24796168 37194252 49592336 58890899 74388504 99184672 117781798 148777008 176672697 198369344 235563596 297554016 353345394 471127192 595108032 706690788 942254384 1413381576 1884508768 2826763152 3769017536 5653526304 11307052608